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A108760
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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
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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
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OFFSET
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2,4
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COMMENTS
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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.
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LINKS
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Table of n, a(n) for n=2..89.
Robert Phillips, Triangular Numbers which are sums of two Triangular Numbers
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EXAMPLE
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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).
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CROSSREFS
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Cf. A012132.
Sequence in context: A049084 A108416 A215395 * A137304 A027656 A142150
Adjacent sequences: A108757 A108758 A108759 * A108761 A108762 A108763
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KEYWORD
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nonn
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AUTHOR
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Robert Phillips (bobp(AT)usca.edu), Jun 24 2005
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STATUS
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approved
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