ON A DIOPHANTINE EQUATION ON TRIANGULAR NUMBERS

被引：1

作者：

Hamtat, Abdelkader ^{[1
]}

Behloul, Djilali ^{[1
]}

机构：

[1] USTHB, Fac Math, ATN Lab, BP 32, El Algiers 16111, Bab Ezzouar, Algeria

来源：

MISKOLC MATHEMATICAL NOTES | 2017年 / 18卷 / 02期

关键词：

Diophantine equation; triangular numbers;

D O I：

10.18514/MMN.2017.1536

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

A number N is a triangular number if it can be written as N = 0 + 1 + . . . + n for some natural number n. We study the problem of finding all nonnegative integer solutions of the Diophantine equation (0 + 1 + . . . + X)+ (0 + 1 + . . . + Y) = (0 + 1 + . . . + Z) Using this equation, some new and curious increasing integer sequences are built.

引用

页码：779 / 786

页数：8