Sums of Diagonals in Pascal’s Triangle

Mathematics Exchange 2026 Open access

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Authors: Jamisen McCrary, Russell May
DOI: 10.33043/ehqggv66dz
Cited by: 0

Abstract

We analyze sums of entries on diagonals of integer slope in Pascal’s triangle, obtain a recurrence relation that these diagonal sums obey, and compute their generating function. We use the generating function to approximate the exponential growth of the diagonal sums.

Fields of Study & Subjects

Advanced Combinatorial Mathematics Advanced Mathematical Identities Analytic Number Theory Research

Publication details

Journal / source
Mathematics Exchange
Volume
16
Issue
1
Pages
50–57
Publication date
3 March 2026
Language
EN