31st Day of Year: 31.01.19

References: Patterns in Prime Numbers: Fixed Digits Repetitions; Single Letter Representations of Numbers

22nd Day of Year: 22.01.19

References Pythagorean Triples Generating Pandigial Palindromic-Type Patterns and Magic Squares Inder J. Taneja, Multiple-Type Patterns and Pythagorean Triples, Zenodo, , January 19, 2019, http://doi.org/10.5281/zenodo.2544527 Inder J. Taneja, Palindromic-Type Pandigital Patterns in Pythagorean Triples, Zenodo, January 20, 2019,http://doi.org/10.5281/zenodo.2544551 Factorial-Power Selfie Expressions https://inderjtaneja.com/2018/11/16/crazy-representations-of-natural-numbers-the-10958-problem/ 

21st Day of Year: 21.01.19

References Pythagorean Triples Generating Pandigial Palindromic-Type Patterns and Magic Squares Inder J. Taneja, Multiple-Type Patterns and Pythagorean Triples, Zenodo, , January 19, 2019, http://doi.org/10.5281/zenodo.2544527 Inder J. Taneja, Palindromic-Type Pandigital Patterns in Pythagorean Triples, Zenodo, January 20, 2019, http://doi.org/10.5281/zenodo.2544551 https://inderjtaneja.com/2017/02/23/same-digits-equality-expressions/ https://inderjtaneja.com/2018/11/16/crazy-representations-of-natural-numbers-the-10958-problem/ 

20th Day of Year: 20.01.19

References Pythagorean Triples Generating Pandigial Palindromic-Type Patterns and Magic Squares Inder J. Taneja, Multiple-Type Patterns and Pythagorean Triples, Zenodo, , January 19, 2019, http://doi.org/10.5281/zenodo.2544527 Inder J. Taneja, Palindromic-Type Pandigital Patterns in Pythagorean Triples, Zenodo, January 20, 2019, http://doi.org/10.5281/zenodo.2544551 https://inderjtaneja.com/2017/02/23/same-digits-equality-expressions/ https://inderjtaneja.com/2018/11/16/crazy-representations-of-natural-numbers-the-10958-problem/ 

Triangular Numbers and Running Expressions with Equalities

In previous work ( Part I, Part II, Part III), running equalities are written in terms of 1 to 9 and 9 to 1 or 9 to 0 separated by single or double equality signs. Each digits is used once with basic operations, along with factorial, square-root and Fibonacci sequence values. These types of equalities, … Continue reading Triangular Numbers and Running Expressions with Equalities