{"id":681,"date":"2022-02-13T06:32:46","date_gmt":"2022-02-13T09:32:46","guid":{"rendered":"https:\/\/numbers-magic.com\/?p=681"},"modified":"2022-02-17T10:21:38","modified_gmt":"2022-02-17T13:21:38","slug":"recreating-numbers-old","status":"publish","type":"post","link":"https:\/\/numbers-magic.com\/?p=681","title":{"rendered":"Recreating Numbers (old)"},"content":{"rendered":"\n<p><strong>2018<\/strong><\/p>\n\n\n\n<ol class=\"wp-block-list\"><li><strong>I.J. TANEJA<\/strong>,&nbsp; Crazy, Selfie, Fibonacci, Triangular, Amicable Types Representations of Numbers, RGMIA Research Report Collection,&nbsp;<strong>21<\/strong>(2018), Art. 3, pp. 1-140,<br><em><a href=\"http:\/\/rgmia.org\/papers\/v21\/v21a03.pdf\">http:\/\/rgmia.org\/papers\/v21\/v21a03.pdf<\/a><\/em>.<\/li><li><strong>I.J. TANEJA<\/strong>, Natural Numbers in Terms of Fibonacci and S-gonal Values \u2013 I, RGMIA Research Report Collection,&nbsp;&nbsp;<strong>21<\/strong>(2018), Art. 6, pp. 1-115,<br><em><a href=\"http:\/\/rgmia.org\/papers\/v21\/v21a06.pdf\">http:\/\/rgmia.org\/papers\/v21\/v21a06.pdf<\/a><\/em>.<\/li><li><strong>I.J. TANEJA<\/strong>, Natural Numbers in Terms of Fibonacci and S-gonal Values \u2013 II, RGMIA Research Report Collection,&nbsp;<strong>21<\/strong>(2018), Art. 7, pp. 1-115,<br><em><a href=\"http:\/\/rgmia.org\/papers\/v21\/v21a07.pdf\">http:\/\/rgmia.org\/papers\/v21\/v21a07.pdf<\/a><\/em>;<\/li><li><strong>I.J. TANEJA<\/strong>, Natural Numbers in Terms of S-gonal (Pentagonal and Hexagonal) Values, RGMIA Research Report Collection,&nbsp;<strong>21<\/strong>(2018), Art. 18, pp. 1-101,<br><em><a href=\"http:\/\/rgmia.org\/papers\/v21\/v21a18.pdf\">http:\/\/rgmia.org\/papers\/v21\/v21a18.pdf<\/a>.<\/em><\/li><li><strong>I.J. TANEJA<\/strong>, Multiplicative-Type Selfie Equalities,&nbsp;&nbsp;<strong>21<\/strong>(2018), pp. 1-62,&nbsp;<em><a href=\"http:\/\/rgmia.org\/papers\/v21\/v21a26.pdf\">http:\/\/rgmia.org\/papers\/v21\/v21a26.pdf<\/a><\/em>;&nbsp;<a href=\"https:\/\/goo.gl\/bEPqTy\">https:\/\/goo.gl\/bEPqTy<\/a>.<\/li><li>I.J. TANEJA, Palindromic-Type Expressions and Patterns, RGMIA Research Report Collection, 21(2018), Art. 57, pp. 1-117,&nbsp;<a href=\"http:\/\/rgmia.org\/papers\/v21\/v21a27.pdf\">http:\/\/rgmia.org\/papers\/v21\/v21a27.pdf<\/a>;&nbsp;<a href=\"https:\/\/goo.gl\/Y4Er5p\">https:\/\/goo.gl\/Y4Er5p<\/a>.<\/li><li>I.J. TANEJA, Palindromic-Type Palindromes, RGMIA Research Report Collection, 21(2018), Art. 57, pp. 1-100,&nbsp;<a href=\"http:\/\/rgmia.org\/papers\/v21\/v21a57.pdf\">http:\/\/rgmia.org\/papers\/v21\/v21a57.pdf<\/a>.<\/li><li>I.J. TANEJA, Palindromic-Type Non-Palindromes, RGMIA Research Report Collection, 21(2018), Art. 58, pp. 1-117,&nbsp;<a href=\"http:\/\/rgmia.org\/papers\/v21\/v21a58.pdf\">http:\/\/rgmia.org\/papers\/v21\/v21a58.pdf<\/a>.<\/li><li>I.J. TANEJA, Palindromic-Type Squared Expressions with Palindromic and Non-Palindromic Sum, RGMIA Research Report Collection, 21(2018), Art. 62, pp. 1-117,&nbsp;<a href=\"http:\/\/rgmia.org\/papers\/v21\/v21a62.pdf\">http:\/\/rgmia.org\/papers\/v21\/v21a62.pdf<\/a>.<\/li><li>I.J. TANEJA, Same Digits Embedded Palprimes, RGMIA Research Report Collection, 21(2018), Art. 75, pp. 1-47,&nbsp;<a href=\"https:\/\/rgmia.org\/papers\/v21\/v21a75.pdf\">https:\/\/rgmia.org\/papers\/v21\/v21a75.pdf<\/a>.<\/li><li>I.J. TANEJA, Palindromic-Type Pandigital Patterns in Pythagorean Triples, RGMIA Research Report Collection, 21(2018), Art. 76, pp. 1-11,&nbsp;<a href=\"https:\/\/rgmia.org\/papers\/v21\/v21a76.pdf\">https:\/\/rgmia.org\/papers\/v21\/v21a76.pdf<\/a>.<\/li><\/ol>\n\n\n\n<p><strong>2017<\/strong><\/p>\n\n\n\n<ol class=\"wp-block-list\"><li><strong>I.J. TANEJA<\/strong>&nbsp;(2017), 2017 \u2013 Mathematical Style, RGMIA Research Report Collection, Vol.&nbsp;<strong>20<\/strong>, Art 03, pp.1-17,&nbsp;&nbsp;<a href=\"http:\/\/rgmia.org\/papers\/v20\/v20a03.pdf\">http:\/\/rgmia.org\/papers\/v20\/v20a03.pdf<\/a>.<\/li><li><strong>I.J. TANEJA<\/strong>&nbsp;(2017), Hardy-Ramanujan Number \u2013 1729,&nbsp;RGMIA Research Report Collection, Vol.&nbsp;<strong>20<\/strong>, Art 6, pp.1-50,&nbsp;&nbsp;<a href=\"http:\/\/rgmia.org\/papers\/v20\/v20a06.pdf\">http:\/\/rgmia.org\/papers\/v20\/v20a06.pdf<\/a>.<\/li><li><strong>I.J. TANEJA<\/strong>&nbsp;, Same Digits Equality Expressions \u2013 I, RGMIA Research Report Collection, Vol.&nbsp;<strong>20<\/strong>, Article 15, pp.1-34,&nbsp;<a href=\"http:\/\/rgmia.org\/papers\/v20\/v20a15.pdf\">http:\/\/rgmia.org\/papers\/v20\/v20a15.pdf<\/a>.<\/li><li><strong>I.J. TANEJA<\/strong>&nbsp;, Same Digits Equality Expressions \u2013 II, RGMIA Research Report Collection, Vol.&nbsp;<strong>20<\/strong>,&nbsp; Article 16, pp.1-97,&nbsp;<a href=\"http:\/\/rgmia.org\/papers\/v20\/v20a16.pdf\">http:\/\/rgmia.org\/papers\/v20\/v20a16.pdf<\/a>.<\/li><li><strong>I.J. TANEJA<\/strong>&nbsp;, Patterns in Prime Numbers: Fixed Digits Repetitions, RGMIA Research Report Collection, Vol.&nbsp;<strong>20<\/strong>, Article 17, pp.1-75,&nbsp;&nbsp;<a href=\"http:\/\/rgmia.org\/papers\/v20\/v20a17.pdf\">http:\/\/rgmia.org\/papers\/v20\/v20a17.pdf<\/a>.<\/li><li><strong>I.J. TANEJA<\/strong>&nbsp;, Running Expressions with Equalities: Increasing and Decreasing Orders \u2013 I, RGMIA Research Report Collection, Vol.&nbsp;<strong>20<\/strong>, Art. 33, pp. 1-57,&nbsp;<a href=\"http:\/\/rgmia.org\/papers\/v20\/v20a33.pdf\">http:\/\/rgmia.org\/papers\/v20\/v20a33.pdf<\/a>.<\/li><li><strong>I.J. TANEJA<\/strong>&nbsp;, Running Expressions with Equalities: Increasing and Decreasing Orders \u2013 II, RGMIA Research Report Collection, Vol.&nbsp;<strong>20<\/strong>, Art. 34, pp. 1-87,&nbsp;<a href=\"http:\/\/rgmia.org\/papers\/v20\/v20a34.pdf\">http:\/\/rgmia.org\/papers\/v20\/v20a34.pdf<\/a>.<\/li><li><strong>I.J. TANEJA<\/strong>&nbsp;, Fibonacci Sequence and Running Expressions with Equalities \u2013 I, RGMIA Research Report Collection, Vol.&nbsp;<strong>20<\/strong>, Art. 35, pp. 1-83,&nbsp;<a href=\"http:\/\/rgmia.org\/papers\/v20\/v20a35.pdf\">http:\/\/rgmia.org\/papers\/v20\/v20a35.pdf<\/a>.<\/li><li><strong>I.J. TANEJA<\/strong>&nbsp;, Factorial-Power Selfie Expressions \u2013 I, RGMIA Research Report Collection, Vol.&nbsp;<strong>20<\/strong>, Art. 36, pp. 1-55,&nbsp;<a href=\"http:\/\/rgmia.org\/papers\/v20\/v20a36.pdf\">http:\/\/rgmia.org\/papers\/v20\/v20a36.pdf<\/a>.<\/li><li><strong>I.J. TANEJA<\/strong>&nbsp;, Semi-Selfie Numbers and Multiplicative Selfie Equalities, RGMIA Research Report Collection, Vol.&nbsp;<strong>20<\/strong>, Art. 37, pp. 1-63,&nbsp;<a href=\"http:\/\/rgmia.org\/papers\/v20\/v20a37.pdf\">http:\/\/rgmia.org\/papers\/v20\/v20a37.pdf<\/a>.<\/li><li><strong>I.J. TANEJA<\/strong>&nbsp;, Numbers from 1 to 1729 Written in Terms of 1729-1729, RGMIA Research Report Collection, Vol.&nbsp;<strong>20<\/strong>, Art. 42, pp. 1-18,&nbsp;<a href=\"http:\/\/rgmia.org\/papers\/v20\/v20a42.pdf\">http:\/\/rgmia.org\/papers\/v20\/v20a42.pdf<\/a>.<\/li><li><strong>I.J. TANEJA<\/strong>&nbsp;, S-gonal and Centered Polygonal Selfie Numbers, and Connections with Binomials Coefficients, RGMIA Research Report Collection, Vol.&nbsp;<strong>20<\/strong>, Art. 43, pp. 1-42,&nbsp;<a href=\"http:\/\/rgmia.org\/papers\/v20\/v20a43.pdf\">http:\/\/rgmia.org\/papers\/v20\/v20a43.pdf<\/a>.<\/li><li><strong>I.J. TANEJA<\/strong>&nbsp;, Triangular Selfie Numbers \u2013 I, RGMIA Research Report Collection, Vol.&nbsp;<strong>20<\/strong>, Art. 54, pp. 1-78,&nbsp;<a href=\"http:\/\/rgmia.org\/papers\/v20\/v20a54.pdf\">http:\/\/rgmia.org\/papers\/v20\/v20a54.pdf<\/a>.<\/li><li><strong>I.J. TANEJA<\/strong>&nbsp;, Simultaneous Representations of Selfie Numbers in Terms of Fibonacci and Triangular Numbers, RGMIA Research Report Collection, Vol.&nbsp;<strong>20<\/strong>, Art. 55, pp. 1-87,&nbsp;<a href=\"http:\/\/rgmia.org\/papers\/v20\/v20a55.pdf\">http:\/\/rgmia.org\/papers\/v20\/v20a55.pdf<\/a>.<\/li><li><strong>I.J. TANEJA<\/strong>&nbsp;, Multiple Choice Patterns in Prime Numbers \u2013 I, RGMIA Research Report Collection, Vol.&nbsp;<strong>20<\/strong>, Art. 73, pp. 1-104,&nbsp;<a href=\"http:\/\/rgmia.org\/papers\/v20\/v20a73.pdf\">http:\/\/rgmia.org\/papers\/v20\/v20a73.pdf<\/a>.<\/li><li><strong>I.J. TANEJA<\/strong>&nbsp;, Multiple Choice Patterns in Prime Numbers \u2013 II, RGMIA Research Report Collection, Vol.&nbsp;<strong>20<\/strong>, Art. 74, pp. 1-109,&nbsp;<a href=\"http:\/\/rgmia.org\/papers\/v20\/v20a74.pdf\">http:\/\/rgmia.org\/papers\/v20\/v20a74.pdf<\/a>.<\/li><li><strong>I.J. TANEJA<\/strong>&nbsp;, Semi-Selfie Numbers \u2013 I, RGMIA Research Report Collection, Vol.&nbsp;<strong>20<\/strong>, Art. 83, pp. 1-96,&nbsp;<a href=\"http:\/\/rgmia.org\/papers\/v20\/v20a83.pdf\">http:\/\/rgmia.org\/papers\/v20\/v20a83.pdf<\/a>.<\/li><li><strong>I.J. TANEJA<\/strong>&nbsp;, Multiple Choice Patterns in Prime Numbers \u2013 III, RGMIA Research Report Collection, Vol.&nbsp;<strong>20<\/strong>, Art. 93, pp. 1-113,&nbsp;<a href=\"http:\/\/rgmia.org\/papers\/v20\/v20a93.pdf\">http:\/\/rgmia.org\/papers\/v20\/v20a93.pdf<\/a>.<\/li><li><strong>I.J. TANEJA<\/strong>&nbsp;, Multiple Choice Patterns in Prime Numbers \u2013 IV, RGMIA Research Report Collection, Vol.&nbsp;<strong>20<\/strong>, Art. 94, pp. 1-150,&nbsp;<a href=\"http:\/\/rgmia.org\/papers\/v20\/v20a94.pdf\">http:\/\/rgmia.org\/papers\/v20\/v20a94.pdf<\/a>.<\/li><li><strong>I.J. TANEJA<\/strong>&nbsp;, Patterns in Semi-Selfie Numbers, RGMIA Research Report Collection, Vol.&nbsp;<strong>20<\/strong>, Art. 95, pp. 1-26,&nbsp;<a href=\"http:\/\/rgmia.org\/papers\/v20\/v20a95.pdf\">http:\/\/rgmia.org\/papers\/v20\/v20a95.pdf<\/a>.<\/li><li><strong>I.J. TANEJA<\/strong>&nbsp;, Factorial-Power Selfie Expressions \u2013 II, RGMIA Research Report Collection, Vol.&nbsp;<strong>20<\/strong>, Art. 96, pp. 1-47,&nbsp;<a href=\"http:\/\/rgmia.org\/papers\/v20\/v20a96.pdf\">http:\/\/rgmia.org\/papers\/v20\/v20a96.pdf<\/a>.<\/li><li><strong>I.J. TANEJA<\/strong>, Factorial-Type Selfie Expressions With Fibonacci and Triangular Values, RGMIA Research Report Collection, Vol.&nbsp;<strong>20<\/strong>, 2017, Art. 114, pp. 1-52,&nbsp;<a href=\"http:\/\/rgmia.org\/papers\/v20\/v20a114.pdf\">http:\/\/rgmia.org\/papers\/v20\/v20a114.pdf<\/a>.<\/li><li><strong>I.J. TANEJA<\/strong>, Semi-Selfie Numbers \u2013 II, RGMIA Research Report Collection, Vol.&nbsp;<strong>20,&nbsp;<\/strong>2017, Art. 116, pp. 1-52,&nbsp;<a href=\"http:\/\/rgmia.org\/papers\/v20\/v20a116.pdf\">http:\/\/rgmia.org\/papers\/v20\/v20a116.pdf<\/a>.<\/li><li><strong>I.J. TANEJA<\/strong>, Mathematical Aspects of July \u2013 2017, RGMIA Research Report Collection, Vol.&nbsp;<strong>20,<\/strong>&nbsp;2017, Art. 120, pp. 1-21,&nbsp;<a href=\"http:\/\/rgmia.org\/papers\/v20\/v20a120.pdf\">http:\/\/rgmia.org\/papers\/v20\/v20a120.pdf<\/a>.<\/li><li><strong>I.J. TANEJA<\/strong>, Embedded Palindromic Prime Numbers \u2013 I, RGMIA Research Report Collection, Vol.&nbsp;<strong>20<\/strong>, 2017, Art. 121, pp. 1-86,&nbsp;<a href=\"http:\/\/rgmia.org\/papers\/v20\/v20a121.pdf\">http:\/\/rgmia.org\/papers\/v20\/v20a121.pdf<\/a>.<\/li><li><strong>I.J. TANEJA<\/strong>, Fibonacci-Triangular-Type Selfie Expressions \u2013 I, RGMIA Research Report Collection, Vol.&nbsp;<strong>20<\/strong>, 2017, Art. 122, pp. 1-76,&nbsp;<a href=\"http:\/\/rgmia.org\/papers\/v20\/v20a122.pdf\">http:\/\/rgmia.org\/papers\/v20\/v20a122.pdf<\/a>.<\/li><li><strong>I.J. TANEJA<\/strong>, Fibonacci-Triangular-Type Selfie Expressions \u2013 II, RGMIA Research Report Collection, Vol.&nbsp;<strong>20<\/strong>, 2017, Art. 123, pp. 1-68,&nbsp;<a href=\"http:\/\/rgmia.org\/papers\/v20\/v20a123.pdf\">http:\/\/rgmia.org\/papers\/v20\/v20a123.pdf<\/a>.<\/li><li><strong>I.J. TANEJA<\/strong>, Palindromic Prime Embedded Trees, RGMIA Research Report Collection, Vol.&nbsp;<strong>20<\/strong>, 2017, Art. 124, pp. 1-14,&nbsp;<a href=\"http:\/\/rgmia.org\/papers\/v20\/v20a124.pdf\">http:\/\/rgmia.org\/papers\/v20\/v20a124.pdf<\/a>.<\/li><\/ol>\n\n\n\n<p><strong>2016<\/strong><\/p>\n\n\n\n<ol class=\"wp-block-list\"><li>I.J. TANEJA (2016), Selfie Numbers \u2013 III: With Factorial and Without Square-Root \u2013 Up To Five Digits, RGMIA Research Report Collection, Vol.&nbsp;<strong>19<\/strong>, Art 16, pp.1-52,&nbsp;&nbsp;<a href=\"http:\/\/rgmia.org\/papers\/v19\/v19a16.pdf\">http:\/\/rgmia.org\/papers\/v19\/v19a16.pdf<\/a>.<\/li><li>I.J. TANEJA (2016), Selfie Power Representations, RGMIA Research Report Collection,<br>Vol.&nbsp;<strong>19<\/strong>, Art 17, pp. 1-20,&nbsp;&nbsp;<a href=\"http:\/\/rgmia.org\/papers\/v19\/v19a17.pdf\">http:\/\/rgmia.org\/papers\/v19\/v19a17.pdf<\/a>.<\/li><li>I.J. TANEJA (2016), Crazy Power Representations of Natural Numbers, RGMIA Research Report Collection, Vol.&nbsp;<strong>19<\/strong>, Art 31, pp.1-71,&nbsp;&nbsp;<a href=\"http:\/\/rgmia.org\/papers\/v19\/v19a31.pdf\">http:\/\/rgmia.org\/papers\/v19\/v19a31.pdf<\/a>.<\/li><li>I.J. TANEJA (2016), Flexible Power Narcissistic Numbers with Division, RGMIA Research Report Collection, Vol.&nbsp;<strong>19<\/strong>, Art 32, pp.1-67,&nbsp;&nbsp;<a href=\"http:\/\/rgmia.org\/papers\/v19\/v19a32.pdf\">http:\/\/rgmia.org\/papers\/v19\/v19a32.pdf<\/a>.<\/li><li>I.J. TANEJA (2016), Floor Function and Narcissistic Numbers with Division, RGMIA Research Report Collection, Vol.&nbsp;<strong>19<\/strong>, Art 33, pp.1-8,&nbsp;&nbsp;<a href=\"http:\/\/rgmia.org\/papers\/v19\/v19a33.pdf\">http:\/\/rgmia.org\/papers\/v19\/v19a33.pdf<\/a>.<\/li><li>I.J. TANEJA (2016), Double Sequential Representations of Natural Numbers \u2013 I, RGMIA Research Report Collection, Vol.&nbsp;<strong>19<\/strong>, Art 48, pp.1-65,&nbsp;<a href=\"http:\/\/rgmia.org\/papers\/v19\/v19a48.pdf\">http:\/\/rgmia.org\/papers\/v19\/v19a48.pdf<\/a>.<\/li><li>I.J. TANEJA (2016), Flexible Power Selfie Numbers \u2013 I, RGMIA Research Report Collection, Vol.&nbsp;<strong>19<\/strong>, Art 49, pp.1-34,&nbsp;<a href=\"http:\/\/rgmia.org\/papers\/v19\/v19a49.pdf\">http:\/\/rgmia.org\/papers\/v19\/v19a49.pdf<\/a>.<\/li><li>I.J. TANEJA (2016), Flexible Power Selfie Numbers \u2013 II, RGMIA Research Report Collection, Vol.&nbsp;<strong>19<\/strong>, Art 50, pp.1-69,&nbsp;<a href=\"http:\/\/rgmia.org\/papers\/v19\/v19a50.pdf\">http:\/\/rgmia.org\/papers\/v19\/v19a50.pdf<\/a>.<\/li><li>I.J. TANEJA (2016), Flexible Power Selfie Numbers \u2013 III, RGMIA Research Report Collection, Vol.&nbsp;<strong>19<\/strong>, Art 51, pp.1-66,&nbsp;<a href=\"http:\/\/rgmia.org\/papers\/v19\/v19a51.pdf\">http:\/\/rgmia.org\/papers\/v19\/v19a51.pdf<\/a>.<\/li><li>I.J. TANEJA (2016), Double Sequential Representations of Natural Numbers \u2013 II, RGMIA Research Report Collection, Vol.&nbsp;<strong>19<\/strong>, Art 57,&nbsp; pp.1-42,&nbsp;<a href=\"http:\/\/rgmia.org\/papers\/v19\/v19a57.pdf\">http:\/\/rgmia.org\/papers\/v19\/v19a57.pdf<\/a>.<\/li><li>I.J. TANEJA (2016), Pyramidical Representations of Natural Numbers, RGMIA Research Report Collection, Vol.&nbsp;<strong>19<\/strong>, Art 58, pp.1-95, Art 58,&nbsp;<a href=\"http:\/\/rgmia.org\/papers\/v19\/v19a58.pdf\">http:\/\/rgmia.org\/papers\/v19\/v19a58.pdf<\/a>.<\/li><li>I.J. TANEJA (2016), Selfie Fractions: Addable, RGMIA Research Report Collection, Vol.&nbsp;<strong>19<\/strong>,&nbsp; Art 113, pp. 1-72,&nbsp;&nbsp;<a href=\"http:\/\/rgmia.org\/papers\/v19\/v19a113.pdf\">http:\/\/rgmia.org\/papers\/v19\/v19a113.pdf<\/a>.<\/li><li>I.J. TANEJA (2016), Selfie Fractions: Dottable and Potentiable, RGMIA Research Report Collection, Vol.&nbsp;<strong>19<\/strong>, Art 114, pp. 1-25,&nbsp;&nbsp;<a href=\"http:\/\/rgmia.org\/papers\/v19\/v19a114.pdf\">http:\/\/rgmia.org\/papers\/v19\/v19a114.pdf<\/a>.<\/li><li>I.J. TANEJA (2016), Selfie Fractions: Addable and Dottable Together, RGMIA Research Report Collection, Vol.&nbsp;<strong>19<\/strong>, Art 115, pp. 1-80,&nbsp;&nbsp;<a href=\"http:\/\/rgmia.org\/papers\/v19\/v19a115.pdf\">http:\/\/rgmia.org\/papers\/v19\/v19a115.pdf<\/a>.<\/li><li>I.J. TANEJA (2016), Equivalent Selfie Fractions: Dottable, Addable and Subtractable, RGMIA Research Report Collection, Vol.&nbsp;<strong>19<\/strong>, Art 116, pp. 1-40,&nbsp;&nbsp;<a href=\"http:\/\/rgmia.org\/papers\/v19\/v19a116.pdf\">http:\/\/rgmia.org\/papers\/v19\/v19a116.pdf<\/a>.<\/li><li>I.J. TANEJA (2016), Equivalent Selfie Fractions: Addable and Dottable Together, RGMIA Research Report Collection, Vol.&nbsp;<strong>19<\/strong>, Art 117, pp. 1-85,&nbsp;&nbsp;<a href=\"http:\/\/rgmia.org\/papers\/v19\/v19a117.pdf\">http:\/\/rgmia.org\/papers\/v19\/v19a117.pdf<\/a>.<\/li><li>I.J. TANEJA (2016), Double Sequential Representations of Natural Numbers \u2013 III, RGMIA Research Report Collection,<br>Vol.&nbsp;<strong>19<\/strong>, Art 128, pp. 1-70,&nbsp;&nbsp;<a href=\"http:\/\/rgmia.org\/papers\/v19\/v19a128.pdf\">http:\/\/rgmia.org\/papers\/v19\/v19a128.pdf<\/a>.<\/li><li>I.J. TANEJA (2016), Double Sequential Representations of Natural Numbers \u2013 IV, RGMIA Research Report Collection, Vol.&nbsp;<strong>19<\/strong>, Art 129, pp. 1-70,&nbsp;&nbsp;<a href=\"http:\/\/rgmia.org\/papers\/v19\/v19a129.pdf\">http:\/\/rgmia.org\/papers\/v19\/v19a129.pdf<\/a>.<\/li><li>I.J. TANEJA (2016), Pyramidical Representations of Natural Numbers \u2013 II, RGMIA Research Report Collection, Vol.&nbsp;<strong>19<\/strong>, Art 130, pp. 1-75,&nbsp;&nbsp;<a href=\"http:\/\/rgmia.org\/papers\/v19\/v19a130.pdf\">http:\/\/rgmia.org\/papers\/v19\/v19a130.pdf<\/a>.<\/li><li>I.J. TANEJA (2016), Flexible Power Representations of Natural Numbers, RGMIA Research Report Collection, Vol.&nbsp;<strong>19<\/strong>,&nbsp; Art 131,&nbsp; pp. 1-91,&nbsp;&nbsp;<a href=\"http:\/\/rgmia.org\/papers\/v19\/v19a131.pdf\">http:\/\/rgmia.org\/papers\/v19\/v19a131.pdf<\/a>.<\/li><li>I.J. TANEJA (2016), Triple Representations of Natural Numbers \u2013 I, RGMIA Research Report Collection, Vol.&nbsp;<strong>19<\/strong>, Art 114, pp. 1-79,&nbsp;<a href=\"http:\/\/rgmia.org\/papers\/v19\/v19a134.pdf\">http:\/\/rgmia.org\/papers\/v19\/v19a134.pdf<\/a>.<\/li><li>I.J. TANEJA (2016), Fibonacci Sequence and Selfie Numbers \u2013 I, RGMIA Research Report Collection, Vol.&nbsp;<strong>19<\/strong>, Art 142, pp. 1-59,&nbsp;<a href=\"http:\/\/rgmia.org\/papers\/v19\/v19a142.pdf\">http:\/\/rgmia.org\/papers\/v19\/v19a142.pdf<\/a>.<\/li><li>I.J. TANEJA (2016), Fibonacci Sequence and Selfie Numbers \u2013 II, RGMIA Research Report Collection, Vol.&nbsp;<strong>19<\/strong>, Art 143, pp. 1-47,&nbsp;<a href=\"http:\/\/rgmia.org\/papers\/v19\/v19a143.pdf\">http:\/\/rgmia.org\/papers\/v19\/v19a143.pdf<\/a>.<\/li><li>I.J. TANEJA (2016), Fibonacci Sequence and Selfie Numbers \u2013 III, RGMIA Research Report Collection, Vol.&nbsp;<strong>19<\/strong>, Art 156, pp. 1-72,&nbsp;<a href=\"http:\/\/rgmia.org\/papers\/v19\/v19a156.pdf\">http:\/\/rgmia.org\/papers\/v19\/v19a156.pdf<\/a>.<\/li><li>I.J. TANEJA (2016), Different Digits Equivalent Fractions \u2013 I, RGMIA Research Report Collection, Vol.&nbsp;<strong>19<\/strong>, Art 148, pp. 1-59,&nbsp;<a href=\"http:\/\/rgmia.org\/papers\/v19\/v19a148.pdf\">http:\/\/rgmia.org\/papers\/v19\/v19a148.pdf<\/a>.<\/li><li>I.J. TANEJA (2016), Different Digits Equivalent Fractions \u2013 II, RGMIA Research Report Collection, Vol.&nbsp;<strong>19<\/strong>, Art 149, pp. 1-56,&nbsp;<a href=\"http:\/\/rgmia.org\/papers\/v19\/v19a149.pdf\">http:\/\/rgmia.org\/papers\/v19\/v19a149.pdf<\/a>.<\/li><li>I.J. TANEJA (2016), Different Digits Equivalent Fractions \u2013 III, RGMIA Research Report Collection, Vol.&nbsp;<strong>19<\/strong>, Art 150, pp. 1-57,&nbsp;<a href=\"http:\/\/rgmia.org\/papers\/v19\/v19a150.pdf\">http:\/\/rgmia.org\/papers\/v19\/v19a150.pdf<\/a>.<\/li><li>I.J. TANEJA (2016), Palindromic-Type Numbers and Pattarens \u2013 I, RGMIA Research Report Collection, Vol.&nbsp;<strong>19<\/strong>,&nbsp; Article 163, pp.1-80,&nbsp;<a href=\"http:\/\/rgmia.org\/papers\/v19\/v19a159.pdf\">http:\/\/rgmia.org\/papers\/v19\/v19a159.pdf<\/a>.<\/li><li>I.J. TANEJA (2016), Crazy Representations of Natural Numbers, RGMIA Research Report Collection, Vol.&nbsp;<strong>19<\/strong>,&nbsp; Article 160, pp.1-14,&nbsp;<a href=\"http:\/\/rgmia.org\/papers\/v19\/v19a160.pdf\">http:\/\/rgmia.org\/papers\/v19\/v19a160.pdf<\/a>.<\/li><li>I.J. TANEJA (2016), Selfie Numbers \u2013 IV: Addition, Subtraction and Factorial, RGMIA Research Report Collection, Vol.&nbsp;<strong>19<\/strong>, Article 163, pp.1-42,&nbsp;&nbsp;<a href=\"http:\/\/rgmia.org\/papers\/v19\/v19a163.pdf\">http:\/\/rgmia.org\/papers\/v19\/v19a163.pdf<\/a>.<\/li><li>I.J. TANEJA (2016), Selfie Numbers \u2013 V: Six Digits Symmetrical Representations with Factorial, RGMIA Research Report Collection, Vol.&nbsp;<strong>19<\/strong>, Article 164, pp.1-60,&nbsp;&nbsp;<a href=\"http:\/\/rgmia.org\/papers\/v19\/v19a164.pdf\">http:\/\/rgmia.org\/papers\/v19\/v19a164.pdf<\/a>.<\/li><\/ol>\n\n\n\n<p><strong>2015<\/strong><\/p>\n\n\n\n<ol class=\"wp-block-list\"><li>I.J. TANEJA (2015), Single Letter Representations of Natural Numbers, Palindromic Symmetries and Number Patterns,&nbsp; RGMIA Research Report Collection,&nbsp; Vol.&nbsp;<strong>18<\/strong>, Art 40,&nbsp; pp.1-30.&nbsp;<a href=\"http:\/\/rgmia.org\/papers\/v18\/v18a40.pdf\">http:\/\/rgmia.org\/papers\/v18\/v18a40.pdf<\/a>.<\/li><li>I.J. TANEJA(2015), Running Expressions in Increasing and Decreasing Orders of Natural Numbers Separated by Equality Signs, RGMIA Research Report Collection, Vol.&nbsp;<strong>18<\/strong>, Art 27,&nbsp; pp.1-54.&nbsp;<a href=\"http:\/\/rgmia.org\/papers\/v18\/v18a27.pdf\">http:\/\/rgmia.org\/papers\/v18\/v18a27.pdf<\/a>.<\/li><li>I.J. TANEJA(2015), Single Digit Representations of Natural Numbers, Feb. 1015, pp.1-55.&nbsp;<a href=\"http:\/\/arxiv.org\/abs\/1502.03501.%C2%A0\">http:\/\/arxiv.org\/abs\/1502.03501.&nbsp;<\/a>&nbsp;Also in RGMIA Research Report Collection, Vol.&nbsp;<strong>18<\/strong>, Art 15,&nbsp; pp.1-55.&nbsp;<a href=\"http:\/\/rgmia.org\/papers\/v18\/v18a15.pdf\">http:\/\/rgmia.org\/papers\/v18\/v18a15.pdf<\/a>.<\/li><li>I.J. TANEJA(2015), Different Types of Pretty Wild Narcissistic Numbers: Selfie Representations \u2013 I,&nbsp; RGMIA Research Report Collection, Vol.&nbsp;<strong>18<\/strong>, Art 32,&nbsp; pp.1-43.&nbsp;&nbsp;<a href=\"http:\/\/rgmia.org\/papers\/v18\/v18a32.pdf\">http:\/\/rgmia.org\/papers\/v18\/v18a32.pdf<\/a>.<\/li><li>I.J. TANEJA(2015), Selfie Numbers: Representations in Increasing and Decreasing Orders of Non Consecutive Digits, RGMIA Research Report Collection, Vol.&nbsp;<strong>18<\/strong>, Art 70,&nbsp; pp.1-104.&nbsp;<a href=\"http:\/\/rgmia.org\/papers\/v18\/v18a70.pdf\">http:\/\/rgmia.org\/papers\/v18\/v18a70.pdf<\/a>.<\/li><li>I.J. TANEJA(2015), Single Letter Representations of Natural Numbers, RGMIA Research Report Collection, Vol.&nbsp;<strong>18<\/strong>, Art 73,&nbsp; pp 1-44,&nbsp;&nbsp;http:\/\/rgmia.org\/papers\/v18\/v18a73.pdf.<\/li><li>I.J. TANEJA(2015), Representations of Palindromic, Prime, and Fibonacci Sequence Patterns, RGMIA Research Report Collection, Vol.&nbsp;<strong>18<\/strong>, Art 99,&nbsp; pp. 1-24.&nbsp;&nbsp;<a href=\"http:\/\/rgmia.org\/papers\/v18\/v18a99.pdf\">http:\/\/rgmia.org\/papers\/v18\/v18a99.pdf<\/a>.<\/li><li>I.J. TANEJA(2015), Representations of Palindromic, Prime and Number Patterns, RGMIA Research Report Collection, Vol.&nbsp;<strong>18<\/strong>, Art 77,&nbsp; pp.1-21.&nbsp;<a href=\"http:\/\/rgmia.org\/papers\/v18\/v18a77.pdf\">http:\/\/rgmia.org\/papers\/v18\/v18a77.pdf<\/a>.<\/li><li>I.J. TANEJA(2015), Unified Selfie Numbers, RGMIA Research Report Collection, Vol.&nbsp;<strong>18<\/strong>, Art 153,&nbsp; pp. 1-14.&nbsp;&nbsp;<a href=\"http:\/\/rgmia.org\/papers\/v18\/v18a153.pdf\">http:\/\/rgmia.org\/papers\/v18\/v18a153.pdf<\/a>.<\/li><li>I.J. TANEJA(2015), Patterns in Selfie Numbers, RGMIA Research Report Collection, Vol.&nbsp;<strong>18<\/strong>, Art 154,&nbsp; pp. 1-41.&nbsp;&nbsp;<a href=\"http:\/\/rgmia.org\/papers\/v18\/v18a154.pdf\">http:\/\/rgmia.org\/papers\/v18\/v18a154.pdf<\/a>.<\/li><li>I.J. TANEJA(2015), Selfie Numbers \u2013 I: Symmetrical and Unified Representations,&nbsp; RGMIA Research Report Collection, Vol.&nbsp;<strong>18<\/strong>, Art 174, pp.1-94.&nbsp;&nbsp;&nbsp;<a href=\"http:\/\/rgmia.org\/papers\/v18\/v18a174.pdf\">http:\/\/rgmia.org\/papers\/v18\/v18a174.pdf<\/a>.<\/li><li>I.J. TANEJA(2015), Selfie Numbers \u2013 II: Six Digits Symmetrical, Unified and Patterned&nbsp; Representations Without Factorial, RGMIA Research Report Collection, Vol.&nbsp;<strong>18<\/strong>, Art 175, pp.1-41.&nbsp;<a href=\"http:\/\/rgmia.org\/papers\/v18\/v18a175.pdf\">http:\/\/rgmia.org\/papers\/v18\/v18a175.pdf<\/a>.<\/li><\/ol>\n\n\n\n<p><strong>2014<\/strong><\/p>\n\n\n\n<ol class=\"wp-block-list\"><li>I.J. TANEJA (2014), Selfie Numbers: Consecutive Representations in Increasing and Decreasing Orders, RGMIA Research Report Collection, Vol.&nbsp;<strong>17<\/strong>, Art 140,&nbsp; pp. 1-57,&nbsp;<a href=\"http:\/\/rgmia.org\/papers\/v17\/v17a140.pdf\">http:\/\/rgmia.org\/papers\/v17\/v17a140.pdf<\/a>.<\/li><li>I.J. TANEJA (2014), Crazy Sequential Representation: Numbers from 0 to 11111 in terms of Increasing and Decreasing Orders of 1 to 9, Jan. 2014, pp.1-161,&nbsp;<a href=\"http:\/\/arxiv.org\/abs\/1302.1479\">http:\/\/arxiv.org\/abs\/1302.1479<\/a>.<\/li><\/ol>\n","protected":false},"excerpt":{"rendered":"<p>2018 I.J. TANEJA,&nbsp; Crazy, Selfie, Fibonacci, Triangular, Amicable Types Representations of Numbers, RGMIA Research Report Collection,&nbsp;21(2018), Art. 3, pp. 1-140,http:\/\/rgmia.org\/papers\/v21\/v21a03.pdf. I.J. TANEJA, Natural Numbers in Terms of Fibonacci and S-gonal Values \u2013 I, RGMIA Research Report Collection,&nbsp;&nbsp;21(2018), Art. 6, pp. 1-115,http:\/\/rgmia.org\/papers\/v21\/v21a06.pdf. I.J. TANEJA, Natural Numbers in Terms of Fibonacci and S-gonal Values \u2013 II, RGMIA [&hellip;]<\/p>\n","protected":false},"author":1,"featured_media":0,"comment_status":"closed","ping_status":"open","sticky":false,"template":"","format":"standard","meta":{"_jetpack_memberships_contains_paid_content":false,"footnotes":""},"categories":[13],"tags":[],"class_list":["post-681","post","type-post","status-publish","format-standard","hentry","category-publi-ca-tions"],"jetpack_featured_media_url":"","jetpack_sharing_enabled":true,"_links":{"self":[{"href":"https:\/\/numbers-magic.com\/index.php?rest_route=\/wp\/v2\/posts\/681","targetHints":{"allow":["GET"]}}],"collection":[{"href":"https:\/\/numbers-magic.com\/index.php?rest_route=\/wp\/v2\/posts"}],"about":[{"href":"https:\/\/numbers-magic.com\/index.php?rest_route=\/wp\/v2\/types\/post"}],"author":[{"embeddable":true,"href":"https:\/\/numbers-magic.com\/index.php?rest_route=\/wp\/v2\/users\/1"}],"replies":[{"embeddable":true,"href":"https:\/\/numbers-magic.com\/index.php?rest_route=%2Fwp%2Fv2%2Fcomments&post=681"}],"version-history":[{"count":1,"href":"https:\/\/numbers-magic.com\/index.php?rest_route=\/wp\/v2\/posts\/681\/revisions"}],"predecessor-version":[{"id":682,"href":"https:\/\/numbers-magic.com\/index.php?rest_route=\/wp\/v2\/posts\/681\/revisions\/682"}],"wp:attachment":[{"href":"https:\/\/numbers-magic.com\/index.php?rest_route=%2Fwp%2Fv2%2Fmedia&parent=681"}],"wp:term":[{"taxonomy":"category","embeddable":true,"href":"https:\/\/numbers-magic.com\/index.php?rest_route=%2Fwp%2Fv2%2Fcategories&post=681"},{"taxonomy":"post_tag","embeddable":true,"href":"https:\/\/numbers-magic.com\/index.php?rest_route=%2Fwp%2Fv2%2Ftags&post=681"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}