For this work see the reference numbers 1, 17 and 18 in the reference list given below.
References
- 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. - Inder J. Taneja, Mathematical Representations for Days of the Year
- Inder J. Taneja, Multiple Choices for Crazy Representations of Natural Numbers
- Inder J. Taneja, Multiple Representations of Selfie Numbers – I (zenodo.org)
- Inder J. Taneja, Permutable Powers Selfie Numbers, Zenodo, February 15, 2019, pp. 1-227, http://doi.org/10.5281/zenodo.2566445.
- Inder J. Taneja, Selfie Numbers: Basic Operations, Zenodo, March 26, 2019, pp. 1-134, http://doi.org/10.5281/zenodo.2609143.
- 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.
- 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.
- Inder J. Taneja, Square-Root Type Selfie Numbers, Zenodo, July 06, 2019, pp. 1-248, http://doi.org/10.5281/zenodo.3352388.
- Inder J. Taneja, Amicable Numbers With Patterns in Products and Powers (zenodo.org)
- Inder J. Taneja, Patterns in Splitted Selfie Fractions (zenodo.org)
- Inder J. Taneja, Unified Study of Narcissistic Numbers without and with Division (zenodo.org)
- Inder J. Taneja, Power-Type Semi-Selfie Numbers and Patterns (zenodo.org)
- Inder J. Taneja, Crazy Running Equality Expressions With Factorial and Square-Root (zenodo.org)
- Inder J. Taneja, Pyramid-Type Representations of Natural Numbers (zenodo.org)
- Inder J. Taneja, Pyramid-Type Representations of Natural Numbers from 1001 to 10000 (zenodo.org)
- Inder J. Taneja, Factorial-Power Selfie Expressions (zenodo.org)
- Inder J. Taneja, Selfie Expressions With Factorial, Fibonacci and Triangular Values (zenodo.org)