On triangular numbers which are sums of consecutive squares

Autor:	Hymie London, Raphael Finkelstein
Rok vydání:	1972
Předmět:	Combinatorics Discrete mathematics Algebra and Number Theory Integer Triangular number Mathematics
Zdroj:	Journal of Number Theory. 4(5):455-462
ISSN:	0022-314X
DOI:	10.1016/0022-314x(72)90036-4
Popis:	In a recent issue of the American Mathematical Monthly, H. E. Thomas, Jr. proposed the following Problem. Find all integer solutions (n, r) of the equation ∑ i=1 n i = ∑ i=1 n i 2 In the present paper we solve Thomas's problem by proving the following: Theorem. The only integer solutions of the equation ∑ i=1 n i = ∑ i=1 n i 2 are ∑ i=1 n i = ∑ i=1 n i 2 ·
Databáze:	OpenAIRE
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