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Search: id:A141680
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| A141680 |
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Triangle sequence of coefficients: t(n,m)=A126988(n,m)*Binomial(n,m). |
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+0
1
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| 1, 4, 1, 9, 0, 1, 16, 12, 0, 1, 25, 0, 0, 0, 1, 36, 45, 40, 0, 0, 1, 49, 0, 0, 0, 0, 0, 1, 64, 112, 0, 140, 0, 0, 0, 1, 81, 0, 252, 0, 0, 0, 0, 0, 1, 100, 225, 0, 0, 504, 0, 0, 0, 0, 1
(list; 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, 5, 10, 29, 26, 122, 50, 317, 334, 830}.
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FORMULA
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t(n,m)=A126988(n,m)*Binomial(n,m).
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EXAMPLE
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{1},
{4, 1},
{9, 0, 1},
{16, 12, 0, 1},
{25, 0, 0, 0, 1},
{36, 45, 40, 0, 0, 1},
{49, 0, 0, 0, 0, 0, 1},
{64, 112, 0, 140, 0, 0, 0, 1},
{81, 0, 252, 0, 0, 0, 0, 0, 1},
{100, 225, 0, 0, 504, 0, 0, 0, 0, 1}
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MATHEMATICA
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t[n_, m_] = If[Mod[n, m] == 0, n/m, 0]*Binomial[n, m]; Table[Table[t[n, m], {m, 1, n}], {n, 1, 10}]; Flatten[%]
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CROSSREFS
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Cf. A126988.
Sequence in context: A100235 A089072 A036177 this_sequence A141681 A143469 A123726
Adjacent sequences: A141677 A141678 A141679 this_sequence A141681 A141682 A141683
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KEYWORD
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nonn,uned
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AUTHOR
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Roger L. Bagula and Gary W. Adamson (rlbagulatftn(AT)yahoo.com), Sep 07 2008
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