Recreating Numbers and Magic Squares

Publications

Recreating Numbers (old)

ByInder J. Taneja

Feb 13, 2022

2018

  1. I.J. TANEJA,  Crazy, Selfie, Fibonacci, Triangular, Amicable Types Representations of Numbers, RGMIA Research Report Collection, 21(2018), Art. 3, pp. 1-140,
    http://rgmia.org/papers/v21/v21a03.pdf.
  2. I.J. TANEJA, Natural Numbers in Terms of Fibonacci and S-gonal Values – I, RGMIA Research Report Collection,  21(2018), Art. 6, pp. 1-115,
    http://rgmia.org/papers/v21/v21a06.pdf.
  3. I.J. TANEJA, Natural Numbers in Terms of Fibonacci and S-gonal Values – II, RGMIA Research Report Collection, 21(2018), Art. 7, pp. 1-115,
    http://rgmia.org/papers/v21/v21a07.pdf;
  4. I.J. TANEJA, Natural Numbers in Terms of S-gonal (Pentagonal and Hexagonal) Values, RGMIA Research Report Collection, 21(2018), Art. 18, pp. 1-101,
    http://rgmia.org/papers/v21/v21a18.pdf.
  5. I.J. TANEJA, Multiplicative-Type Selfie Equalities,  21(2018), pp. 1-62, http://rgmia.org/papers/v21/v21a26.pdf; https://goo.gl/bEPqTy.
  6. I.J. TANEJA, Palindromic-Type Expressions and Patterns, RGMIA Research Report Collection, 21(2018), Art. 57, pp. 1-117, http://rgmia.org/papers/v21/v21a27.pdf; https://goo.gl/Y4Er5p.
  7. I.J. TANEJA, Palindromic-Type Palindromes, RGMIA Research Report Collection, 21(2018), Art. 57, pp. 1-100, http://rgmia.org/papers/v21/v21a57.pdf.
  8. I.J. TANEJA, Palindromic-Type Non-Palindromes, RGMIA Research Report Collection, 21(2018), Art. 58, pp. 1-117, http://rgmia.org/papers/v21/v21a58.pdf.
  9. I.J. TANEJA, Palindromic-Type Squared Expressions with Palindromic and Non-Palindromic Sum, RGMIA Research Report Collection, 21(2018), Art. 62, pp. 1-117, http://rgmia.org/papers/v21/v21a62.pdf.
  10. I.J. TANEJA, Same Digits Embedded Palprimes, RGMIA Research Report Collection, 21(2018), Art. 75, pp. 1-47, https://rgmia.org/papers/v21/v21a75.pdf.
  11. I.J. TANEJA, Palindromic-Type Pandigital Patterns in Pythagorean Triples, RGMIA Research Report Collection, 21(2018), Art. 76, pp. 1-11, https://rgmia.org/papers/v21/v21a76.pdf.

2017

  1. I.J. TANEJA (2017), 2017 – Mathematical Style, RGMIA Research Report Collection, Vol. 20, Art 03, pp.1-17,  http://rgmia.org/papers/v20/v20a03.pdf.
  2. I.J. TANEJA (2017), Hardy-Ramanujan Number – 1729, RGMIA Research Report Collection, Vol. 20, Art 6, pp.1-50,  http://rgmia.org/papers/v20/v20a06.pdf.
  3. I.J. TANEJA , Same Digits Equality Expressions – I, RGMIA Research Report Collection, Vol. 20, Article 15, pp.1-34, http://rgmia.org/papers/v20/v20a15.pdf.
  4. I.J. TANEJA , Same Digits Equality Expressions – II, RGMIA Research Report Collection, Vol. 20,  Article 16, pp.1-97, http://rgmia.org/papers/v20/v20a16.pdf.
  5. I.J. TANEJA , Patterns in Prime Numbers: Fixed Digits Repetitions, RGMIA Research Report Collection, Vol. 20, Article 17, pp.1-75,  http://rgmia.org/papers/v20/v20a17.pdf.
  6. I.J. TANEJA , Running Expressions with Equalities: Increasing and Decreasing Orders – I, RGMIA Research Report Collection, Vol. 20, Art. 33, pp. 1-57, http://rgmia.org/papers/v20/v20a33.pdf.
  7. I.J. TANEJA , Running Expressions with Equalities: Increasing and Decreasing Orders – II, RGMIA Research Report Collection, Vol. 20, Art. 34, pp. 1-87, http://rgmia.org/papers/v20/v20a34.pdf.
  8. I.J. TANEJA , Fibonacci Sequence and Running Expressions with Equalities – I, RGMIA Research Report Collection, Vol. 20, Art. 35, pp. 1-83, http://rgmia.org/papers/v20/v20a35.pdf.
  9. I.J. TANEJA , Factorial-Power Selfie Expressions – I, RGMIA Research Report Collection, Vol. 20, Art. 36, pp. 1-55, http://rgmia.org/papers/v20/v20a36.pdf.
  10. I.J. TANEJA , Semi-Selfie Numbers and Multiplicative Selfie Equalities, RGMIA Research Report Collection, Vol. 20, Art. 37, pp. 1-63, http://rgmia.org/papers/v20/v20a37.pdf.
  11. I.J. TANEJA , Numbers from 1 to 1729 Written in Terms of 1729-1729, RGMIA Research Report Collection, Vol. 20, Art. 42, pp. 1-18, http://rgmia.org/papers/v20/v20a42.pdf.
  12. I.J. TANEJA , S-gonal and Centered Polygonal Selfie Numbers, and Connections with Binomials Coefficients, RGMIA Research Report Collection, Vol. 20, Art. 43, pp. 1-42, http://rgmia.org/papers/v20/v20a43.pdf.
  13. I.J. TANEJA , Triangular Selfie Numbers – I, RGMIA Research Report Collection, Vol. 20, Art. 54, pp. 1-78, http://rgmia.org/papers/v20/v20a54.pdf.
  14. I.J. TANEJA , Simultaneous Representations of Selfie Numbers in Terms of Fibonacci and Triangular Numbers, RGMIA Research Report Collection, Vol. 20, Art. 55, pp. 1-87, http://rgmia.org/papers/v20/v20a55.pdf.
  15. I.J. TANEJA , Multiple Choice Patterns in Prime Numbers – I, RGMIA Research Report Collection, Vol. 20, Art. 73, pp. 1-104, http://rgmia.org/papers/v20/v20a73.pdf.
  16. I.J. TANEJA , Multiple Choice Patterns in Prime Numbers – II, RGMIA Research Report Collection, Vol. 20, Art. 74, pp. 1-109, http://rgmia.org/papers/v20/v20a74.pdf.
  17. I.J. TANEJA , Semi-Selfie Numbers – I, RGMIA Research Report Collection, Vol. 20, Art. 83, pp. 1-96, http://rgmia.org/papers/v20/v20a83.pdf.
  18. I.J. TANEJA , Multiple Choice Patterns in Prime Numbers – III, RGMIA Research Report Collection, Vol. 20, Art. 93, pp. 1-113, http://rgmia.org/papers/v20/v20a93.pdf.
  19. I.J. TANEJA , Multiple Choice Patterns in Prime Numbers – IV, RGMIA Research Report Collection, Vol. 20, Art. 94, pp. 1-150, http://rgmia.org/papers/v20/v20a94.pdf.
  20. I.J. TANEJA , Patterns in Semi-Selfie Numbers, RGMIA Research Report Collection, Vol. 20, Art. 95, pp. 1-26, http://rgmia.org/papers/v20/v20a95.pdf.
  21. I.J. TANEJA , Factorial-Power Selfie Expressions – II, RGMIA Research Report Collection, Vol. 20, Art. 96, pp. 1-47, http://rgmia.org/papers/v20/v20a96.pdf.
  22. I.J. TANEJA, Factorial-Type Selfie Expressions With Fibonacci and Triangular Values, RGMIA Research Report Collection, Vol. 20, 2017, Art. 114, pp. 1-52, http://rgmia.org/papers/v20/v20a114.pdf.
  23. I.J. TANEJA, Semi-Selfie Numbers – II, RGMIA Research Report Collection, Vol. 20, 2017, Art. 116, pp. 1-52, http://rgmia.org/papers/v20/v20a116.pdf.
  24. I.J. TANEJA, Mathematical Aspects of July – 2017, RGMIA Research Report Collection, Vol. 20, 2017, Art. 120, pp. 1-21, http://rgmia.org/papers/v20/v20a120.pdf.
  25. I.J. TANEJA, Embedded Palindromic Prime Numbers – I, RGMIA Research Report Collection, Vol. 20, 2017, Art. 121, pp. 1-86, http://rgmia.org/papers/v20/v20a121.pdf.
  26. I.J. TANEJA, Fibonacci-Triangular-Type Selfie Expressions – I, RGMIA Research Report Collection, Vol. 20, 2017, Art. 122, pp. 1-76, http://rgmia.org/papers/v20/v20a122.pdf.
  27. I.J. TANEJA, Fibonacci-Triangular-Type Selfie Expressions – II, RGMIA Research Report Collection, Vol. 20, 2017, Art. 123, pp. 1-68, http://rgmia.org/papers/v20/v20a123.pdf.
  28. I.J. TANEJA, Palindromic Prime Embedded Trees, RGMIA Research Report Collection, Vol. 20, 2017, Art. 124, pp. 1-14, http://rgmia.org/papers/v20/v20a124.pdf.

2016

  1. I.J. TANEJA (2016), Selfie Numbers – III: With Factorial and Without Square-Root – Up To Five Digits, RGMIA Research Report Collection, Vol. 19, Art 16, pp.1-52,  http://rgmia.org/papers/v19/v19a16.pdf.
  2. I.J. TANEJA (2016), Selfie Power Representations, RGMIA Research Report Collection,
    Vol. 19, Art 17, pp. 1-20,  http://rgmia.org/papers/v19/v19a17.pdf.
  3. I.J. TANEJA (2016), Crazy Power Representations of Natural Numbers, RGMIA Research Report Collection, Vol. 19, Art 31, pp.1-71,  http://rgmia.org/papers/v19/v19a31.pdf.
  4. I.J. TANEJA (2016), Flexible Power Narcissistic Numbers with Division, RGMIA Research Report Collection, Vol. 19, Art 32, pp.1-67,  http://rgmia.org/papers/v19/v19a32.pdf.
  5. I.J. TANEJA (2016), Floor Function and Narcissistic Numbers with Division, RGMIA Research Report Collection, Vol. 19, Art 33, pp.1-8,  http://rgmia.org/papers/v19/v19a33.pdf.
  6. I.J. TANEJA (2016), Double Sequential Representations of Natural Numbers – I, RGMIA Research Report Collection, Vol. 19, Art 48, pp.1-65, http://rgmia.org/papers/v19/v19a48.pdf.
  7. I.J. TANEJA (2016), Flexible Power Selfie Numbers – I, RGMIA Research Report Collection, Vol. 19, Art 49, pp.1-34, http://rgmia.org/papers/v19/v19a49.pdf.
  8. I.J. TANEJA (2016), Flexible Power Selfie Numbers – II, RGMIA Research Report Collection, Vol. 19, Art 50, pp.1-69, http://rgmia.org/papers/v19/v19a50.pdf.
  9. I.J. TANEJA (2016), Flexible Power Selfie Numbers – III, RGMIA Research Report Collection, Vol. 19, Art 51, pp.1-66, http://rgmia.org/papers/v19/v19a51.pdf.
  10. I.J. TANEJA (2016), Double Sequential Representations of Natural Numbers – II, RGMIA Research Report Collection, Vol. 19, Art 57,  pp.1-42, http://rgmia.org/papers/v19/v19a57.pdf.
  11. I.J. TANEJA (2016), Pyramidical Representations of Natural Numbers, RGMIA Research Report Collection, Vol. 19, Art 58, pp.1-95, Art 58, http://rgmia.org/papers/v19/v19a58.pdf.
  12. I.J. TANEJA (2016), Selfie Fractions: Addable, RGMIA Research Report Collection, Vol. 19,  Art 113, pp. 1-72,  http://rgmia.org/papers/v19/v19a113.pdf.
  13. I.J. TANEJA (2016), Selfie Fractions: Dottable and Potentiable, RGMIA Research Report Collection, Vol. 19, Art 114, pp. 1-25,  http://rgmia.org/papers/v19/v19a114.pdf.
  14. I.J. TANEJA (2016), Selfie Fractions: Addable and Dottable Together, RGMIA Research Report Collection, Vol. 19, Art 115, pp. 1-80,  http://rgmia.org/papers/v19/v19a115.pdf.
  15. I.J. TANEJA (2016), Equivalent Selfie Fractions: Dottable, Addable and Subtractable, RGMIA Research Report Collection, Vol. 19, Art 116, pp. 1-40,  http://rgmia.org/papers/v19/v19a116.pdf.
  16. I.J. TANEJA (2016), Equivalent Selfie Fractions: Addable and Dottable Together, RGMIA Research Report Collection, Vol. 19, Art 117, pp. 1-85,  http://rgmia.org/papers/v19/v19a117.pdf.
  17. I.J. TANEJA (2016), Double Sequential Representations of Natural Numbers – III, RGMIA Research Report Collection,
    Vol. 19, Art 128, pp. 1-70,  http://rgmia.org/papers/v19/v19a128.pdf.
  18. I.J. TANEJA (2016), Double Sequential Representations of Natural Numbers – IV, RGMIA Research Report Collection, Vol. 19, Art 129, pp. 1-70,  http://rgmia.org/papers/v19/v19a129.pdf.
  19. I.J. TANEJA (2016), Pyramidical Representations of Natural Numbers – II, RGMIA Research Report Collection, Vol. 19, Art 130, pp. 1-75,  http://rgmia.org/papers/v19/v19a130.pdf.
  20. I.J. TANEJA (2016), Flexible Power Representations of Natural Numbers, RGMIA Research Report Collection, Vol. 19,  Art 131,  pp. 1-91,  http://rgmia.org/papers/v19/v19a131.pdf.
  21. I.J. TANEJA (2016), Triple Representations of Natural Numbers – I, RGMIA Research Report Collection, Vol. 19, Art 114, pp. 1-79, http://rgmia.org/papers/v19/v19a134.pdf.
  22. I.J. TANEJA (2016), Fibonacci Sequence and Selfie Numbers – I, RGMIA Research Report Collection, Vol. 19, Art 142, pp. 1-59, http://rgmia.org/papers/v19/v19a142.pdf.
  23. I.J. TANEJA (2016), Fibonacci Sequence and Selfie Numbers – II, RGMIA Research Report Collection, Vol. 19, Art 143, pp. 1-47, http://rgmia.org/papers/v19/v19a143.pdf.
  24. I.J. TANEJA (2016), Fibonacci Sequence and Selfie Numbers – III, RGMIA Research Report Collection, Vol. 19, Art 156, pp. 1-72, http://rgmia.org/papers/v19/v19a156.pdf.
  25. I.J. TANEJA (2016), Different Digits Equivalent Fractions – I, RGMIA Research Report Collection, Vol. 19, Art 148, pp. 1-59, http://rgmia.org/papers/v19/v19a148.pdf.
  26. I.J. TANEJA (2016), Different Digits Equivalent Fractions – II, RGMIA Research Report Collection, Vol. 19, Art 149, pp. 1-56, http://rgmia.org/papers/v19/v19a149.pdf.
  27. I.J. TANEJA (2016), Different Digits Equivalent Fractions – III, RGMIA Research Report Collection, Vol. 19, Art 150, pp. 1-57, http://rgmia.org/papers/v19/v19a150.pdf.
  28. I.J. TANEJA (2016), Palindromic-Type Numbers and Pattarens – I, RGMIA Research Report Collection, Vol. 19,  Article 163, pp.1-80, http://rgmia.org/papers/v19/v19a159.pdf.
  29. I.J. TANEJA (2016), Crazy Representations of Natural Numbers, RGMIA Research Report Collection, Vol. 19,  Article 160, pp.1-14, http://rgmia.org/papers/v19/v19a160.pdf.
  30. I.J. TANEJA (2016), Selfie Numbers – IV: Addition, Subtraction and Factorial, RGMIA Research Report Collection, Vol. 19, Article 163, pp.1-42,  http://rgmia.org/papers/v19/v19a163.pdf.
  31. I.J. TANEJA (2016), Selfie Numbers – V: Six Digits Symmetrical Representations with Factorial, RGMIA Research Report Collection, Vol. 19, Article 164, pp.1-60,  http://rgmia.org/papers/v19/v19a164.pdf.

2015

  1. I.J. TANEJA (2015), Single Letter Representations of Natural Numbers, Palindromic Symmetries and Number Patterns,  RGMIA Research Report Collection,  Vol. 18, Art 40,  pp.1-30. http://rgmia.org/papers/v18/v18a40.pdf.
  2. I.J. TANEJA(2015), Running Expressions in Increasing and Decreasing Orders of Natural Numbers Separated by Equality Signs, RGMIA Research Report Collection, Vol. 18, Art 27,  pp.1-54. http://rgmia.org/papers/v18/v18a27.pdf.
  3. I.J. TANEJA(2015), Single Digit Representations of Natural Numbers, Feb. 1015, pp.1-55. http://arxiv.org/abs/1502.03501.  Also in RGMIA Research Report Collection, Vol. 18, Art 15,  pp.1-55. http://rgmia.org/papers/v18/v18a15.pdf.
  4. I.J. TANEJA(2015), Different Types of Pretty Wild Narcissistic Numbers: Selfie Representations – I,  RGMIA Research Report Collection, Vol. 18, Art 32,  pp.1-43.  http://rgmia.org/papers/v18/v18a32.pdf.
  5. I.J. TANEJA(2015), Selfie Numbers: Representations in Increasing and Decreasing Orders of Non Consecutive Digits, RGMIA Research Report Collection, Vol. 18, Art 70,  pp.1-104. http://rgmia.org/papers/v18/v18a70.pdf.
  6. I.J. TANEJA(2015), Single Letter Representations of Natural Numbers, RGMIA Research Report Collection, Vol. 18, Art 73,  pp 1-44,  http://rgmia.org/papers/v18/v18a73.pdf.
  7. I.J. TANEJA(2015), Representations of Palindromic, Prime, and Fibonacci Sequence Patterns, RGMIA Research Report Collection, Vol. 18, Art 99,  pp. 1-24.  http://rgmia.org/papers/v18/v18a99.pdf.
  8. I.J. TANEJA(2015), Representations of Palindromic, Prime and Number Patterns, RGMIA Research Report Collection, Vol. 18, Art 77,  pp.1-21. http://rgmia.org/papers/v18/v18a77.pdf.
  9. I.J. TANEJA(2015), Unified Selfie Numbers, RGMIA Research Report Collection, Vol. 18, Art 153,  pp. 1-14.  http://rgmia.org/papers/v18/v18a153.pdf.
  10. I.J. TANEJA(2015), Patterns in Selfie Numbers, RGMIA Research Report Collection, Vol. 18, Art 154,  pp. 1-41.  http://rgmia.org/papers/v18/v18a154.pdf.
  11. I.J. TANEJA(2015), Selfie Numbers – I: Symmetrical and Unified Representations,  RGMIA Research Report Collection, Vol. 18, Art 174, pp.1-94.   http://rgmia.org/papers/v18/v18a174.pdf.
  12. I.J. TANEJA(2015), Selfie Numbers – II: Six Digits Symmetrical, Unified and Patterned  Representations Without Factorial, RGMIA Research Report Collection, Vol. 18, Art 175, pp.1-41. http://rgmia.org/papers/v18/v18a175.pdf.

2014

  1. I.J. TANEJA (2014), Selfie Numbers: Consecutive Representations in Increasing and Decreasing Orders, RGMIA Research Report Collection, Vol. 17, Art 140,  pp. 1-57, http://rgmia.org/papers/v17/v17a140.pdf.
  2. 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, http://arxiv.org/abs/1302.1479.
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