References: Inder J. Taneja, 2020 In Numbers: Mathematical Style – Revised, Zenodo, December 31, 2019, pp. 1-37, http://doi.org/10.5281/zenodo.3596193; https://inderjtaneja.com/2020/01/02/2020-in-numbers-mathematical-style/ 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. (2019). Fixed Digits Repetitions Prime Patterns of Length 7, Zenodo, February 8, 2019, pp. … Continue reading 29th, 30th and 31st Days of Year: 29.01.20, 30.01.20 and 31.01.20

# Month: January 2020

# 27th and 28th Days of Year: 27.01.20 and 28.01.20

References: Inder J. Taneja, 2020 In Numbers: Mathematical Style – Revised, Zenodo, December 31, 2019, pp. 1-37, http://doi.org/10.5281/zenodo.3596193; https://inderjtaneja.com/2020/01/02/2020-in-numbers-mathematical-style/ Inder J. Taneja, Power-Type Semi-Selfie Numbers and Patterns, Zenodo, July 16, 2019, pp. 1-130, http://doi.org/10.5281/zenodo.3338366. 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, Single … Continue reading 27th and 28th Days of Year: 27.01.20 and 28.01.20

# 25th and 26th Days of Year: 25.01.20 and 26.01.20

References: Inder J. Taneja, 2020 In Numbers: Mathematical Style – Revised, Zenodo, December 31, 2019, pp. 1-37, http://doi.org/10.5281/zenodo.3596193; https://inderjtaneja.com/2020/01/02/2020-in-numbers-mathematical-style/ Inder J. Taneja, Pythagorean Triples, https://inderjtaneja.com/category/pythagorean-triples/ Inder J. Taneja, Single Digits Representations of Numbers from 1 to 20000, https://inderjtaneja.com/2019/01/01/single-letter-representations-of-numbers-from-1-to-20000/

# 24th Day of Year: 24.01.20

References: Inder J. Taneja, 2020 In Numbers: Mathematical Style – Revised, Zenodo, December 31, 2019, pp. 1-37, http://doi.org/10.5281/zenodo.3596193. Inder J. Taneja, Power-Type Semi-Selfie Numbers and Patterns, Zenodo, July 16, 2019, pp. 1-130, http://doi.org/10.5281/zenodo.3338366 Inder J. Taneja, Fixed Digits Repetitions Prime Patterns of Length 6. Zenodo, February 9, 2019, pp. 1-303, http://doi.org/10.5281/zenodo.2561096 Inder J. Taneja, Single Digits Representations of Numbers from 1 … Continue reading 24th Day of Year: 24.01.20

# 23rd Day of Year: 23.01.20

References: Inder J. Taneja, 2020 In Numbers: Mathematical Style – Revised, Zenodo, December 31, 2019, pp. 1-37, http://doi.org/10.5281/zenodo.3596193. Inder J. Taneja, Power-Type Semi-Selfie Numbers and Patterns, Zenodo, July 16, 2019, pp. 1-130, http://doi.org/10.5281/zenodo.3338366 Inder J. Taneja, Fixed Digits Repetitions Prime Patterns of Length 6. Zenodo, February 9, 2019, pp. 1-303, http://doi.org/10.5281/zenodo.2561096 Inder J. Taneja, Single Digits Representations … Continue reading 23rd Day of Year: 23.01.20

# 22nd Day of Year: 22.01.20

References: Inder J. Taneja, 2020 In Numbers: Mathematical Style – Revised, Zenodo, December 31, 2019, pp. 1-37, http://doi.org/10.5281/zenodo.3596193. Inder J. Taneja, Power-Type Semi-Selfie Numbers and Patterns, Zenodo, July 16, 2019, pp. 1-130, http://doi.org/10.5281/zenodo.3338366. Inder J. Taneja, Single Digits Representations of Numbers from 1 to 20000, https://inderjtaneja.com/2019/01/01/single-letter-representations-of-numbers-from-1-to-20000/

# 21st Day of Year: 21.01.20

References: Inder J. Taneja, 2020 In Numbers: Mathematical Style – Revised, Zenodo, December 31, 2019, pp. 1-37, http://doi.org/10.5281/zenodo.3596193. Inder J. Taneja, Multiple-Type Pythagorean Triples, https://inderjtaneja.com/2018/08/04/2499/ Inder J. Taneja, Single Digits Representations of Numbers from 1 to 20000 , https://inderjtaneja.com/2019/01/01/single-letter-representations-of-numbers-from-1-to-20000/

# Bordered Magic Squares With Order Square Magic Sums

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 in such a way that the magic sums are equal to the order of the magic square. The study include integer values. In some cases decimal entries with positive … Continue reading Bordered Magic Squares With Order Square Magic Sums

# Fractional and Decimal Type Bordered Magic Squares With Magic Sum 2020

The idea of bordered magic squares is well known in the literature. In this work, bordered magic squares are constructed in such a way that the final magic sum of each bordered magic square is 2020. The work is for the orders 3 to 25. In each case, a symmetric result is found for the … Continue reading Fractional and Decimal Type Bordered Magic Squares With Magic Sum 2020

# First of Twelve: Six Twenties

# 18th Day of Year: 18.01.20

References: Inder J. Taneja, 2020 In Numbers: Mathematical Style – Revised, Zenodo, December 31, 2019, pp. 1-37, http://doi.org/10.5281/zenodo.3596193. Inder 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. Inder J. Taneja, Nested Magic Squares With Perfect Square Sums, Pythagorean Triples, and Borders Differences, Zenodo, June 14, … Continue reading 18th Day of Year: 18.01.20

# 17th Day of Year: 17.01.20

References: Inder J. Taneja, 2020 In Numbers: Mathematical Style – Revised, Zenodo, December 31, 2019, pp. 1-37, http://doi.org/10.5281/zenodo.3596193. Inder J. Taneja, Nested Magic Squares With Perfect Square Sums, Pythagorean Triples, and Borders Differences, Zenodo, June 14, 2019, pp. 1-59, http://doi.org/10.5281/zenodo.3246586. Inder J. Taneja, Symmetric Properties of Nested Magic Squares, Zenodo, June 29, 2019, pp. 1-55, http://doi.org/10.5281/zenodo.3262170. … Continue reading 17th Day of Year: 17.01.20

# 16th Day of Year: 16.01.20

References: Inder J. Taneja, 2020 In Numbers: Mathematical Style – Revised, Zenodo, December 31, 2019, pp. 1-37, http://doi.org/10.5281/zenodo.3596193. Inder J. Taneja, Multiple-Type Pythagorean Triples, https://inderjtaneja.com/2018/08/04/2499/ Inder J. Taneja, Nested Magic Squares With Perfect Square Sums, Pythagorean Triples, and Borders Differences, Zenodo, June 14, 2019, pp. 1-59, http://doi.org/10.5281/zenodo.3246586. Inder J. Taneja, Symmetric Properties of Nested Magic Squares, Zenodo, … Continue reading 16th Day of Year: 16.01.20

# 15th Day of Year: 15.01.20

References: Inder J. Taneja, 2020 In Numbers: Mathematical Style – Revised, Zenodo, December 31, 2019, pp. 1-37, http://doi.org/10.5281/zenodo.3596193. Inder J. Taneja, Multiple-Type Pythagorean Triples, https://inderjtaneja.com/2018/08/04/2499/ Inder J. Taneja, Nested Magic Squares With Perfect Square Sums, Pythagorean Triples, and Borders Differences, Zenodo, June 14, 2019, pp. 1-59, http://doi.org/10.5281/zenodo.3246586. Inder J. Taneja, Symmetric Properties of Nested Magic Squares, Zenodo, … Continue reading 15th Day of Year: 15.01.20

# 14th Day of Year: 14.01.20

References: Inder J. Taneja, 2020 In Numbers: Mathematical Style – Revised, Zenodo, December 31, 2019, pp. 1-37, http://doi.org/10.5281/zenodo.3596193. Inder J. Taneja, Multiple-Type Pythagorean Triples, https://inderjtaneja.com/2018/08/04/2499/ Inder J. Taneja, Nested Magic Squares With Perfect Square Sums, Pythagorean Triples, and Borders Differences, Zenodo, June 14, 2019, pp. 1-59, http://doi.org/10.5281/zenodo.3246586. Inder J. Taneja, Symmetric Properties of Nested Magic Squares, Zenodo, … Continue reading 14th Day of Year: 14.01.20

# 13th Day of Year: 13.01.20

References: Inder J. Taneja, 2020 In Numbers: Mathematical Style – Revised, Zenodo, December 31, 2019, pp. 1-37, http://doi.org/10.5281/zenodo.3596193. Inder J. Taneja, Multiple-Type Pythagorean Triples, https://inderjtaneja.com/2018/08/04/2499/ Inder J. Taneja, Nested Magic Squares With Perfect Square Sums, Pythagorean Triples, and Borders Differences, Zenodo, June 14, 2019, pp. 1-59, http://doi.org/10.5281/zenodo.3246586. Inder J. Taneja, Symmetric Properties of Nested Magic Squares, Zenodo, … Continue reading 13th Day of Year: 13.01.20

# 12th Day of Year: 12.01.20

References: Inder J. Taneja, 2020 In Numbers: Mathematical Style – Revised, Zenodo, December 31, 2019, pp. 1-37, http://doi.org/10.5281/zenodo.3596193. Inder J. Taneja, Multiple-Type Pythagorean Triples, https://inderjtaneja.com/2018/08/04/2499/ Inder J. Taneja, Nested Magic Squares With Perfect Square Sums, Pythagorean Triples, and Borders Differences, Zenodo, June 14, 2019, pp. 1-59, http://doi.org/10.5281/zenodo.3246586. Inder J. Taneja, Symmetric Properties of Nested Magic Squares, Zenodo, June … Continue reading 12th Day of Year: 12.01.20

# 11th Day of Year: 11.01.20

References: Inder J. Taneja, 2020 In Numbers: Mathematical Style – Revised, Zenodo, December 31, 2019, pp. 1-37, http://doi.org/10.5281/zenodo.3596193. Inder J. Taneja, Multiple-Type Pythagorean Triples, https://inderjtaneja.com/2018/08/04/2499/ Inder J. Taneja, Nested Magic Squares With Perfect Square Sums, Pythagorean Triples, and Borders Differences, Zenodo, June 14, 2019, pp. 1-59, http://doi.org/10.5281/zenodo.3246586. Inder J. Taneja, Symmetric Properties of Nested Magic Squares, Zenodo, … Continue reading 11th Day of Year: 11.01.20

# 9th and 10th Days of Year: 09.01.20 and 10.01.20

References: Inder J. Taneja, 2020 In Numbers: Mathematical Style – Revised, Zenodo, December 31, 2019, pp. 1-37, http://doi.org/10.5281/zenodo.3596193. Inder J. Taneja, Multiple-Type Pythagorean Triples, https://inderjtaneja.com/2018/08/04/2499/ Inder J. Taneja, Same Digits Equality Expressions, https://inderjtaneja.com/2017/02/23/same-digits-equality-expressions/

# Heart: Mathematics Lovers – Magic Squares of Order 4 of Equal Sums

References: Inder J. Taneja, 2020 In Numbers: Mathematical Style – Revised, Zenodo, December 31, 2019, pp. 1-37, http://doi.org/10.5281/zenodo.3596193. Inder J. Taneja, Representations of Letters and Numbers With Equal Sums Magic Squares of Orders 4 and 6, Zenodo, February 1, 2019, pp. 1-82, http://doi.org/10.5281/zenodo.2555287.