For this work see the reference numbers 1, 3 and 20 in the reference list given below.

References

  1. Inder J. Taneja, 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.
    Site link: Crazy Representations of Natural Numbers – The 10958 Problemhttps://inderjtaneja.com/2018/11/16/crazy-representations-of-natural-numbers-the-10958-problem.
  2. Inder J. Taneja, Mathematical Representations for Days of the Year
  3. Inder J. Taneja, Multiple Choices for Crazy Representations of Natural Numbers
  4. Inder J. Taneja, Multiple Representations of Selfie Numbers – I (zenodo.org)
  5. Inder J. TanejaPermutable Powers Selfie NumbersZenodo, February 15, 2019, pp. 1-227,  http://doi.org/10.5281/zenodo.2566445.
  6. Inder J. TanejaSelfie Numbers: Basic OperationsZenodo, March 26, 2019, pp. 1-134,  http://doi.org/10.5281/zenodo.2609143.
  7. Inder J. TanejaFactorial-Type Selfie Numbers in Digit’s OrderZenodo, March 06, 2019, pp. 1-243,  http://doi.org/10.5281/zenodo.2585586.
  8. Inder J. TanejaFactorial-Type Selfie Numbers in Reverse Order of DigitsZenodo, March 06, 2019, pp. 1-227, http://doi.org/10.5281/zenodo.2585599.
  9. Inder J. TanejaSquare-Root Type Selfie NumbersZenodo, July 06, 2019, pp. 1-248,  http://doi.org/10.5281/zenodo.3352388.
  10. Inder J. Taneja, Amicable Numbers With Patterns in Products and Powers (zenodo.org)
  11. Inder J. Taneja, Patterns in Splitted Selfie Fractions (zenodo.org)
  12. Inder J. Taneja, Unified Study of Narcissistic Numbers without and with Division (zenodo.org)
  13. Inder J. Taneja, Power-Type Semi-Selfie Numbers and Patterns (zenodo.org)
  14. Inder J. Taneja, Crazy Running Equality Expressions With Factorial and Square-Root (zenodo.org)
  15. Inder J. Taneja, Pyramid-Type Representations of Natural Numbers (zenodo.org)
  16. Inder J. Taneja, Pyramid-Type Representations of Natural Numbers from 1001 to 10000 (zenodo.org)
  17. Inder J. Taneja, Factorial-Power Selfie Expressions (zenodo.org)
  18. Inder J. Taneja, Selfie Expressions With Factorial, Fibonacci and Triangular Values (zenodo.org)
  19. Inder J. TanejaSingle Letter Patterned Representations and Fibonacci Sequence ValuesZenodo, February 6, 2019, pp. 1-40, http://doi.org/10.5281/zenodo.2558522.
  20. Inder J. TanejaFixed Digits Repetitions Prime Patterns of Length 6 (zenodo.org)

Leave a Reply

Your email address will not be published. Required fields are marked *

WP Twitter Auto Publish Powered By : XYZScripts.com