## Fixed and Flexible Powers Narcissistic Numbers with Division

This works brings fix and flexible powers narcissistic numbers with divison extending the original idea of narcissistic numbers. This is a revised and enlarged version of author’s previous work. The general case without division is given in another work. In this work we have considered following possibilities: Fixed Power: Positive Coefficients; […]

## Flexible Powers Narcissistic-Type Numbers

This works brings flexible powers narcissistic numbers with positive, and positive-negative coefficients extending the original idea of narcissistic numbers. This is a revised and enlarged version of author’s previous work. The extension of this work with division is given in another page. Below are examples and a link […]

## Binomial Coefficient Type Selfie Numbers: Reverse Order of Digits

The numbers represented by its own digits by use of operations, such as, basic operations with factorial, square-root, etc. are known as “selfie numbers“. This work is revised and enlarged version of author’s previous work on Selfie numbers with binomial coefficients. The previous work is only up to five digits. This […]

## Binomial Coefficient Type Selfie Numbers: Digit’s Order

The numbers represented by its own digits by use of operations, such as, basic operations with factorial, square-root, etc. are known as “selfie numbers“. This work is revised and enlarged version of author’s previous work on Selfie numbers with binomial coefficients. The previous work is only up to […]

## Pythagorean Triples Generating Pandigital Palindromic-Type Patterns and Magic Squares

This work is na extension of author’s previous work . In this work, examples of magic Squares are extended to order 20. Also the another group of Pandigital Palindromic-Type Pythagorean Patterns are obtained. Study to general patterns is also extended. Below are few examples of this extended work: Links of […]