Number Theory

    

Number Triangles (Triangular Arrays of Numbers): Pascal's Triangle, Others, and the Birth of a New One

Authors: Jonipol E. Fortaliza

Throughout mathematics history, mathematicians had created triangular array of numbers. Famous among these number triangles is the Pascal’s Triangle which had marked its prominence in many areas of mathematics and even extends its usefulness in the sciences. This paper presents an inventory of number triangles known and recognized in the mathematics world and takes a look to newly-found triangular array of numbers generated by the function, and its link to the Pascal’s Triangle particularly to the Tetrahedral Numbers.

Comments: 18 Pages.

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Submission history

[v1] 2026-02-02 02:41:50

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