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A sequence S of finite sequences s: S(n)=s(n), where s(n) is the sequence of nonnegative integers i less than n such that n divides i(i+1).

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0, 1, 0, 2, 0, 3, 0, 4, 0, 2, 3, 5, 0, 6, 0, 7, 0, 8, 0, 4, 5, 9, 0, 10, 0, 3, 8, 11, 0, 12, 0, 6, 7, 13, 0, 5, 9, 14, 0, 15, 0, 16, 0, 8, 9, 17, 0, 18, 0, 4, 15, 19, 0, 6, 14, 20, 0, 10, 11, 21, 0, 22, 0, 8, 15, 23, 0, 24, 0, 12, 13, 25, 0, 26, 0, 7, 20, 27, 0, 28, 0, 5, 9, 14, 15, 20, 24, 29 (list; graph; listen)

	OFFSET	`2,4`
	COMMENT	`Example: s(12)=0,3,8,11. Each s(n) starts with 0 and ends with n-1. Each s(n) is the first row in an infinite matrix whose columns are x+in, x an element of s(n). The matrix is all nonnegative integers i such that n divides i(i+1). Each matrix is used to generate a subsequence of A012132.` `I use these matrices to generate subsequences of A012132, as you may see on page 9 of my referenced work.`
	LINKS	`Robert Phillips, Triangular Numbers which are sums of two Triangular Numbers`
	EXAMPLE	`S(12)=s(12)=0,3,8,11 which is the first row of the matrix:` `0 3 8 11` `12 15 20 23` `24 27 32 35` `...` `giving all nonnegative integers i such that 12 divides i(i+1) (cf. A108752).`
	CROSSREFS	`Cf. A012132.` `Sequence in context: A137303 A049084 A108416 this_sequence A137304 A027656 A034948` `Adjacent sequences: A108757 A108758 A108759 this_sequence A108761 A108762 A108763`
	KEYWORD	`nonn`
	AUTHOR	`Robert Phillips (bobp(AT)usca.edu), Jun 24 2005`

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Last modified July 25 07:41 EDT 2008. Contains 142293 sequences.

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