Recurrent relations for triangular numbers multiples of other triangular numbers

We search for triangular numbers that are multiples of other triangular numbers. For any positive non-square integer multiplier, there is an infinity of multiples of triangular numbers that are triangular numbers and recurrent relations are deduced theoretically in function of two parameters. If the...

Full description

Saved in:
Bibliographic Details
Published inIndian journal of pure and applied mathematics Vol. 53; no. 3; pp. 782 - 791
Main Author Pletser, Vladimir
Format Journal Article
LanguageEnglish
Published New Delhi Indian National Science Academy 01.09.2022
Springer Nature B.V
Subjects
Applications of Mathematics
Integers
Mathematics
Mathematics and Statistics
Multipliers
Numerical Analysis
Original Research
Triangular numbers
Recurrent Relations
Primary 11A25
Secondary 11D09
Multiples of triangular numbers
Online AccessGet full text

Cover

More Information
Summary:We search for triangular numbers that are multiples of other triangular numbers. For any positive non-square integer multiplier, there is an infinity of multiples of triangular numbers that are triangular numbers and recurrent relations are deduced theoretically in function of two parameters. If the multiplier is a squared integer, there is either one or no solution, depending on the multiplier value.
ISSN:0019-5588
0975-7465
DOI:10.1007/s13226-021-00172-y