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A141723
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A triangle of coefficients made from a multinomial: t(n,m)=Sum[(2*m)!/((2*n-m-k)!*m!*k!),{k,0,n}].
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0
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1, 3, 4, 11, 28, 24, 42, 156, 225, 160, 163, 792, 1596, 1736, 1120, 638, 3820, 9855, 14400, 13230, 8064, 2510, 17832, 55968, 102520, 122265, 100584, 59136, 9908, 81368, 300482, 661024, 968968, 1005004, 765765, 439296, 39203, 365104, 1549320
(list; graph; refs; listen; history; internal format)
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OFFSET
| 1,2
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FORMULA
| t(n,m)=Sum[(2*m)!/((2*n-m-k)!*m!*k!),{k,0,n}].
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EXAMPLE
| {1},
{3, 4},
{11, 28, 24},
{42, 156, 225, 160},
{163, 792, 1596, 1736, 1120},
{638, 3820, 9855, 14400, 13230, 8064},
{2510, 17832, 55968, 102520, 122265, 100584, 59136},
{9908, 81368, 300482, 661024, 968968, 1005004, 765765, 439296},
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MATHEMATICA
| Table[Table[Sum[Multinomial[2*n - m - k, m, k], {k, 0, n}], {m, 0, n}], {n, 0, 11}]; Flatten[%]
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CROSSREFS
| Sequence in context: A198443 A041231 A042129 * A180363 A100845 A019169
Adjacent sequences: A141720 A141721 A141722 * A141724 A141725 A141726
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KEYWORD
| nonn,uned
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AUTHOR
| Roger L. Bagula (rlbagulatftn(AT)yahoo.com), Sep 12 2008
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