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

# Month: January 2019

# 30th Day of Year: 30.01.19

References: Patterns in Prime Numbers: Fixed Digits Repetitions; Pyramidical-Type Representations of Natural Numbers

# 29th Day of Year: 29.01.19

References: Patterns in Prime Numbers: Fixed Digits Repetitions; Crazy Representations of Natural Numbers – The 10958 Problem

# 28th Day of Year: 28.01.19

References: Same Digits Equality Expressions Pyramidical-Type Representations of Natural Numbers.

# 27th Day of Year: 27.01.19

References: 1. Multiple-Type Pythagorean Patterns; 2. Pyramidical-Type Representations of Natural Numbers.

# 26th Day of Year: 26.01.19

References Pyramidical-Type Representations of Natural Numbers Crazy Representations of Natural Numbers – The 10958 Problem

# 25th Day of Year: 25.01.19

References Multiple-Type Pythagorean Triples Patterns Crazy Representations of Natural Numbers – The 10958 Problem

# 24th Day of Year: 24.01.19

# 23rd Day of Year: 23.01.19

References: Patterns in Prime Numbers: Fixed Digits Repetitions ; Single Letter Representations of Numbers from 1 to 20000

# Four Sequential Days With Digits of 2019 – II

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

# Four Sequential Days With Digits of 2019-I

Reference: I.J. TANEJA, Same Digits Embedded Palprimes, RGMIA Research Report Collection, 21(2018), Art. 75, pp. 1-47.

# 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/

# Factorial-Power Selfie Expressions

This paper brings numbers in such a way that both sides of the expressions are with same digits. One side is digits with factorial and another side are with same digits with respective powers. These types of expressions, we call as selfie expressions. Three types of expressions are studied. One when digits involved are distinct, … Continue reading Factorial-Power Selfie Expressions

# 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/

# 19th Day of Year: 19.01.19

# 18th Day of Year: 18.01.19

# 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