23rd May, 24 and 144th Days of Year – Crazy Representations, Self-Amicable and Patterned Selfie Fractions

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 Problem, https://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. Taneja, Permutable Powers Selfie Numbers, Zenodo, February 15, 2019, pp. 1-227,  http://doi.org/10.5281/zenodo.2566445.
6. Inder J. Taneja, Selfie Numbers: Basic Operations, Zenodo, March 26, 2019, pp. 1-134,  http://doi.org/10.5281/zenodo.2609143.
7. Inder J. Taneja, Factorial-Type Selfie Numbers in Digit’s Order, Zenodo, March 06, 2019, pp. 1-243,  http://doi.org/10.5281/zenodo.2585586.
8. Inder J. Taneja, Factorial-Type Selfie Numbers in Reverse Order of Digits, Zenodo, March 06, 2019, pp. 1-227, http://doi.org/10.5281/zenodo.2585599.
9. Inder J. Taneja, Square-Root Type Selfie Numbers, Zenodo, 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)