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 A108760 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). 0
 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; refs; listen; history; text; internal format)
 OFFSET 2,4 COMMENTS 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: A049084 A108416 A215395 * A137304 A027656 A142150 Adjacent sequences:  A108757 A108758 A108759 * A108761 A108762 A108763 KEYWORD nonn AUTHOR Robert Phillips (bobp(AT)usca.edu), Jun 24 2005 STATUS approved

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