# 133th, 134th, 135th and 136th Days of Year: 13.05.22, 14.05.22, 15.05.22 and 16.05.22 – Crazy Representations and Pythagorean Triples Patterns

References: 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/Crazy Representations of Natural Numbers – The 10958 ProblemCrazy Representations of Natural Numbers Using Factorial From 200001 to 300000Inder J. Taneja, Patterns in Pythagorean Triples Using Single and Double Variable Procedures, Zenodo, January 19, 2019, pp. 1-134, http://doi.org/10.5281/zenodo.2544519Inder J. Taneja, Multiple-Type Patterns and Pythagorean Triples, Zenodo, January … Continue reading 133th, 134th, 135th and 136th Days of Year: 13.05.22, 14.05.22, 15.05.22 and 16.05.22 – Crazy Representations and Pythagorean Triples Patterns

# Different Types of Multiple Style Magic Squares of Order 30

Recently, author wrote different types of magic squares for even orders. These are of type block-wise, bordered, block-bordered, block-wise bordered etc. or we can say that these are mix-type magic squares. The whole work can be downloaded at the following link: Inder J. Taneja, Different Types of Multiple Style Magic Squares of Order 30, Zenodo, May 01, 2022, pp. 1-40, https://doi.org/10.5281/zenodo.6515808. Below are 612 … Continue reading Different Types of Multiple Style Magic Squares of Order 30

# Different Types of Multiple Style Magic Squares of Order 28

Recently, author wrote different types of magic squares for even orders. These are of type block-wise, bordered, block-bordered, block-wise bordered etc. or we can say that these are mix-type magic squares. In this case there are 324 magic squares of order 32. The work can be downloaded as the following link: Inder J. Taneja, Different Types of Multiple Style Magic … Continue reading Different Types of Multiple Style Magic Squares of Order 28

# Different Types of Multiple Style Magic Squares of Order 32

Recently, author wrote different types of magic squares for even orders. These are of type block-wise, bordered, block-bordered, block-wise bordered etc. or we can say that these are mix-type magic squares. In this case there are 324 magic squares of order 32. The work can be downloaded as the following link: Inder J. Taneja, Different Types of Multiple Style Magic … Continue reading Different Types of Multiple Style Magic Squares of Order 32

# 121st, 122nd, 123rd and 124th Days of Year: 01.05.22, 02.05.22, 03.05.22 and 04.05.22 – Crazy, Factorial-Power and Single-Letter Representations

References: 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/Crazy Representations of Natural Numbers – The 10958 ProblemCrazy Representations of Natural Numbers Using Factorial From 200001 to 300000Inder J. Taneja. (2020). Patterned Single Letter Representations of Natural Numbers, Zenodo, July 02, 2020, pp. 1-110, http://doi.org/10.5281/zenodo.3928507Inder J. Taneja, Factorial-Power Selfie Expressions, Zenodo, Feb 20, 2019, pp. … Continue reading 121st, 122nd, 123rd and 124th Days of Year: 01.05.22, 02.05.22, 03.05.22 and 04.05.22 – Crazy, Factorial-Power and Single-Letter Representations

# 119th and 120th Days of Year: 29.04.22 and 30.04.22 – Crazy Representations and Pythagorean Triples Patterns

References: 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/Crazy Representations of Natural Numbers – The 10958 ProblemCrazy Representations of Natural Numbers Using Factorial From 200001 to 300000Inder J. Taneja, Patterns in Pythagorean Triples Using Single and Double Variable Procedures, Zenodo, January 19, 2019, pp. 1-134, http://doi.org/10.5281/zenodo.2544519Inder J. Taneja, Multiple-Type Patterns and Pythagorean Triples, Zenodo, January … Continue reading 119th and 120th Days of Year: 29.04.22 and 30.04.22 – Crazy Representations and Pythagorean Triples Patterns

# Multiple Style Different Types of Magic Squares of Order 36

Recently, author wrote different types of magic squares for even orders. These are of type block-wise, bordered, block-bordered, block-wise bordered etc. or we can say that these are mix-type magic squares. In case of magic square of order 36, we have written total 565 magic squares of different types. The work with excel files can be downloaded as the following … Continue reading Multiple Style Different Types of Magic Squares of Order 36

# 115th, 116th, 117th and 118th Days of Year: 25.04.22, 26.04.22, 27.04.22 and 28.04.22 – Crazy Representations and Pythagorean Triples Patterns

References: 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/Crazy Representations of Natural Numbers – The 10958 ProblemCrazy Representations of Natural Numbers Using Factorial From 200001 to 300000Inder J. Taneja, Patterns in Pythagorean Triples Using Single and Double Variable Procedures, Zenodo, January 19, 2019, pp. 1-134, http://doi.org/10.5281/zenodo.2544519Inder J. Taneja, Multiple-Type Patterns and Pythagorean Triples, Zenodo, January … Continue reading 115th, 116th, 117th and 118th Days of Year: 25.04.22, 26.04.22, 27.04.22 and 28.04.22 – Crazy Representations and Pythagorean Triples Patterns

# Multiple Style Different Types of Magic Squares of Order 40

Recently, author wrote different types of magic squares for even orders. These are of type block-wise, bordered, block-bordered, block-wise bordered etc. or we can say that these are mix-type magic squares. In case of magic square of order 40, we have written total 3557 magic squares of different types. The work with extra 9-pdf files can be downloaded as the following link: … Continue reading Multiple Style Different Types of Magic Squares of Order 40

# 111th, 112th, 113th and 114th Days of Year: 21.04.22, 22.04.22, 23.04.22 and 24.04.22 – Crazy Representations and Pythagorean Triples Patterns

References: 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/Crazy Representations of Natural Numbers – The 10958 ProblemCrazy Representations of Natural Numbers Using Factorial From 200001 to 300000Inder J. Taneja, Patterns in Pythagorean Triples Using Single and Double Variable Procedures, Zenodo, January 19, 2019, pp. 1-134, http://doi.org/10.5281/zenodo.2544519Inder J. Taneja, Multiple-Type Patterns and Pythagorean Triples, Zenodo, January … Continue reading 111th, 112th, 113th and 114th Days of Year: 21.04.22, 22.04.22, 23.04.22 and 24.04.22 – Crazy Representations and Pythagorean Triples Patterns

# 99th, 100th, 101st and 102nd Days of Year: 09.04.22, 10.04.22, 11.04.22 and 12.04.22 – Crazy Representations and Pythagorean Triples Patterns

References: 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/Crazy Representations of Natural Numbers – The 10958 ProblemCrazy Representations of Natural Numbers Using Factorial From 200001 to 300000Inder J. Taneja, Patterns in Pythagorean Triples Using Single and Double Variable Procedures, Zenodo, January 19, 2019, pp. 1-134, http://doi.org/10.5281/zenodo.2544519Inder J. Taneja, Multiple-Type Patterns and Pythagorean Triples, Zenodo, January … Continue reading 99th, 100th, 101st and 102nd Days of Year: 09.04.22, 10.04.22, 11.04.22 and 12.04.22 – Crazy Representations and Pythagorean Triples Patterns

# 91st, 92nd, 93rd and 94th Days of Year: 01.04.22, 02.04.22, 03.04.22 and 04.04.22 – Crazy and Semi-Selfie Representations

References: 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/Crazy Representations of Natural Numbers – The 10958 ProblemCrazy Representations of Natural Numbers Using Factorial From 200001 to 300000Inder J. Taneja, Power-Type Semi-Selfie Numbers and Patterns, Zenodo, July 16, 2019, pp. 1-130, http://doi.org/10.5281/zenodo.3338366

# 86th, 87th, 88th and 89th Days of Year: 27.03.22, 28.03.22, 29.03.22 and 30.03.22 – Crazy and Semi-Selfie Representations

References: 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/Crazy Representations of Natural Numbers – The 10958 ProblemCrazy Representations of Natural Numbers Using Factorial From 200001 to 300000Inder J. Taneja, Power-Type Semi-Selfie Numbers and Patterns, Zenodo, July 16, 2019, pp. 1-130, http://doi.org/10.5281/zenodo.3338366

# 82nd, 83rd, 84th and 85th Days of Year: 23.03.22, 24.03.22, 25.03.22 and 26.03.22 – Crazy and Patterned Selfie-Fractions Representations

References: 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/Crazy Representations of Natural Numbers – The 10958 ProblemCrazy Representations of Natural Numbers Using Factorial From 200001 to 300000Inder J. Taneja, Patterned Selfie Fractions, Zenodo, October 27, 2019, pp. 1-267, http://doi.org/10.5281/zenodo.3520096

# 81st Day of Year: 22.03.22 – Sigle Digit, Single Letter and Amicable-Type Representations

References: Inder J. Taneja, Single Digit Representations of Natural Numbers From 1 to 5000, Zenodo, , January 14, 2019, https://doi.org/10.5281/zenodo.2538893.Inder J. Taneja, Single Digit Representations of Natural Numbers From 5001 to 10000, Zenodo, January 14, 2019, https://doi.org/10.5281/zenodo.2538897.Inder J. Taneja, Single Digit Representations of Numbers From 10001 to 15000, Zenodo, January, 26, 2019, pp. 1-510, https://doi.org/10.5281/zenodo.2550414.Inder J. Taneja, Single Digit Representations of … Continue reading 81st Day of Year: 22.03.22 – Sigle Digit, Single Letter and Amicable-Type Representations

# 78th, 79th, 80th and 81st Days of Year; 19.03.22, 20.03.22, 21.03.22 and 22.03.22 – Crazy and Semi-Selfie Representations

References: 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/Crazy Representations of Natural Numbers – The 10958 ProblemCrazy Representations of Natural Numbers Using Factorial From 200001 to 300000Inder J. Taneja, Power-Type Semi-Selfie Numbers and Patterns, Zenodo, July 16, 2019, pp. 1-130, http://doi.org/10.5281/zenodo.3338366

# 68th and 69th Days of Year: 09.03.22 and 10.03.22 – Crazy, Single Letter and Semi-Selfie Representations

References 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/Inder J. Taneja, Single Letter Representations of Natural Numbers, https://inderjtaneja.com/2017/08/19/single-letter-representations-of-natural-numbers/Inder J. Taneja, Power-Type Semi-Selfie Numbers and Patterns, Zenodo, July 16, 2019, pp. 1-130, http://doi.org/10.5281/zenodo.3338366Crazy Representations of Natural Numbers – The 10958 ProblemCrazy Representations of Natural Numbers Using Factorial From 200001 to 300000

# 66th and 67th Days of Year; 07.03.22 and 08.03.22 – Crazy and Single Letter Representations

References: 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/Inder J. Taneja, Single Letter Representations Of Natural Numbers, https://inderjtaneja.com/2017/08/19/single-letter-representations-of-natural-numbers/Crazy Representations of Natural Numbers – The 10958 ProblemCrazy Representations of Natural Numbers Using Factorial From 200001 to 300000Patterns in Single Letter Representations of Natural Numbers

# 64th and 65th Days of Year: 05.03.22 and 06.03.22 – Crazy, Single Letter and Semi-Selfie Representations

References 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/Inder J. Taneja, Single Letter Representations Of Natural Numbers, https://inderjtaneja.com/2017/08/19/single-letter-representations-of-natural-numbers/Inder J. Taneja, Power-Type Semi-Selfie Numbers and Patterns, Zenodo, July 16, 2019, pp. 1-130, http://doi.org/10.5281/zenodo.3338366Crazy Representations of Natural Numbers – The 10958 ProblemCrazy Representations of Natural Numbers Using Factorial From 200001 to 300000

# 63rd Day of Year: 04.03.22 – Single Digit, Single Letter and Semi-Selfie Representations

References 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/Inder J. Taneja, Single Letter Representations Of Natural Numbers, https://inderjtaneja.com/2017/08/19/single-letter-representations-of-natural-numbers/Inder J. Taneja, Power-Type Semi-Selfie Numbers and Patterns, Zenodo, July 16, 2019, pp. 1-130, http://doi.org/10.5281/zenodo.3338366