AN INTEGER SEQUENCE WHICH IS THE SUM OF TRIANGULAR NUMBERS AND EXTRA NUMBERS

We fix a positive integer . For each positive integer , we define to be set consisting of the pair of integers which satisfies and . Let be the cardinality of and we define to be the sum of over . In this paper, we study the properties of the integer sequence .

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Publication Details

Journal
JP Journal of Algebra Number Theory and Applications
Published
2025-08-28
DOI
https://doi.org/10.17654/0972555525030
Primary Topic
Computability, Logic, AI Algorithms
Type
article
Field-Weighted Citation Impact
0.00
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article

AN INTEGER SEQUENCE WHICH IS THE SUM OF TRIANGULAR NUMBERS AND EXTRA NUMBERS

Yasuhiko Kamiyama
JP Journal of Algebra Number Theory and Applications
Computability, Logic, AI Algorithms
article

AN INTEGER SEQUENCE WHICH IS THE SUM OF TRIANGULAR NUMBERS AND EXTRA NUMBERS

Yasuhiko Kamiyama
article en

Abstract

We fix a positive integer . For each positive integer , we define to be set consisting of the pair of integers which satisfies and . Let be the cardinality of and we define to be the sum of over . In this paper, we study the properties of the integer sequence .

JP Journal of Algebra Number Theory and ApplicationsVol. 64(5)
Openalex Percentile: Top 76%
Computability, Logic, AI Algorithms
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AN INTEGER SEQUENCE WHICH IS THE SUM OF TRIANGULAR NUMBERS AND EXTRA NUMBERS — Yasuhiko Kamiyama · JP Journal of Algebra Number Theory and Applications (2025) | TGRS Research Map | TGRS