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Search: id:A114896
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| A114896 |
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A symmetrical triangle of weight coefficients using the Divisors Sigma function: t(n,m)=DivisorSigma[0, n - m + 1]*DivisorSigma[0, m + 1]. |
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1
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| 1, 2, 2, 2, 4, 2, 3, 4, 4, 3, 2, 6, 4, 6, 2, 4, 4, 6, 6, 4, 4, 2, 8, 4, 9, 4, 8, 2, 4, 4, 8, 6, 6, 8, 4, 4, 3, 8, 4, 12, 4, 12, 4, 8, 3, 4, 6, 8, 6, 8, 8, 6, 8, 6, 4, 2, 8, 6, 12, 4, 16, 4, 12, 6, 8, 2
(list; table; graph; listen)
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OFFSET
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1,2
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COMMENT
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Row sums are:
{1, 4, 8, 14, 20, 28, 37, 44, 58, 64, 80}.
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FORMULA
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t(n,m)=DivisorSigma[0, n - m + 1]*DivisorSigma[0, m + 1].
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EXAMPLE
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{1},
{2, 2},
{2, 4, 2},
{3, 4, 4, 3},
{2, 6, 4, 6, 2},
{4, 4, 6, 6, 4, 4},
{2, 8, 4, 9, 4, 8, 2},
{4, 4, 8, 6, 6, 8, 4, 4},
{3, 8, 4, 12, 4, 12, 4, 8, 3},
{4, 6, 8, 6, 8, 8, 6, 8, 6, 4},
{2, 8, 6, 12, 4, 16, 4, 12, 6, 8, 2}
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MATHEMATICA
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t[n_, m_] =DivisorSigma[0, n - m + 1]*DivisorSigma[0, m + 1]; Table[Table[t[n, m], {m, 0, n}], {n, 0, 10}]; Flatten[%]
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CROSSREFS
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Cf. A000005.
Sequence in context: A029658 A086327 A069930 this_sequence A066761 A108920 A079405
Adjacent sequences: A114893 A114894 A114895 this_sequence A114897 A114898 A114899
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KEYWORD
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nonn,tabl
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AUTHOR
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Roger L. Bagula and Gary W. Adamson (rlbagulatftn(AT)yahoo.com), Aug 25 2008
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