186th Day of Year: 05.07.19

References: Inder J. Taneja, Amicable Numbers With Patterns in Products and Powers, Zenodo, March 05, 2019, pp. 1-25, http://doi.org/10.5281/zenodo.2583306 Inder J. Taneja, Running Expressions with Triangular Numbers – I, Zenodo, December 21, 2018, http://doi.org/10.5281/zenodo.2483327 Inder J. Taneja, Crazy Representations of Natural Numbers - The 10958 Problem, https://inderjtaneja.com/2018/11/16/crazy-representations-of-natural-numbers-the-10958-problem/

185th Day of Year: 04.07.19

References Inder J. Taneja, Multiple-Type Patterns and Pythagorean Triples, Zenodo, January 19, 2019, pp.1-53 http://doi.org/10.5281/zenodo.2544527 Inder J. Taneja, Selfie Fractions: Addable, Subtractable, Dottable and Potentiable, Zenodo, March 24, 2019, pp. 1-260,   http://doi.org/10.5281/zenodo.2604531 Inder J. Taneja, Pandigital Equivalent Selfie Fractions, Zenodo, April 02, 2019, pp.    1-392, http://doi.org/10.5281/zenodo.2622028

184th Day of Year: 03.07.19

References: Inder J. Taneja, Factorial-Power Selfie Expressions, Zenodo, February 20, 2019, pp. 1-115,    http://doi.org/10.5281/zenodo.2573569. Inder J. Taneja, Semi-Selfie Numbers, Zenodo, February 12, 2019, pp. 1-394,   http://doi.org/10.5281/zenodo.2562390 Inder J. Taneja, Amicable Numbers With Patterns in Products and Powers, Zenodo, March 05, 2019, pp. 1-25, http://doi.org/10.5281/zenodo.2583306 Inder J. Taneja, Fraction-Type Single Letter Representations of Natural Numbers From 1 to 11111, Zenodo, February 4, 2019, pp. 1-203,  … Continue reading 184th Day of Year: 03.07.19

Symmetric Properties of Nested Magic Squares

The idea of nested magic squares is well known in the literature, generally known by bordered magic squares. In this work, nested magic squares are studied for the consecutive natural numbers for the orders 5 to 25. Properties like, sub-magic squares sums, total entries sums, borders entries sums, etc. are studies. Final results lead us to symmetric properties. … Continue reading Symmetric Properties of Nested Magic Squares

183rd Day of Year: 02.07.19

References: Inder J. Taneja, Factorial-Power Selfie Expressions, Zenodo, February 20, 2019, pp. 1-115,    http://doi.org/10.5281/zenodo.2573569. Inder J. Taneja, Fixed Digits Repetitions Prime Patterns of Lengths 10, 9 and 8, Zenodo, February 8, 2019, pp. 1-175, http://doi.org/10.5281/zenodo.2560640. Inder J. Taneja, Fixed Digits Repetitions Prime Patterns of Length 7, Zenodo, February 8, 2019, pp. 1-176, http://doi.org/10.5281/zenodo.2560668. Inder J. Taneja, Fixed Digits Repetitions Prime Patterns of Length 6. Zenodo, … Continue reading 183rd Day of Year: 02.07.19

182nd Day of Year: 01.07.19

References Inder J. Taneja, Factorial-Power Selfie Expressions, Zenodo, February 20, 2019, pp. 1-115,  http://doi.org/10.5281/zenodo.2573569Inder J. Taneja, Semi-Selfie Numbers, Zenodo, February 12, 2019, pp. 1-394,   http://doi.org/10.5281/zenodo.2562390Inder J. Taneja, Fraction-Type Single Letter Representations of Natural Numbers From 1 to 11111, Zenodo, February 4, 2019, pp. 1-203,   http://doi.org/10.5281/zenodo.2556902