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A141611
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A symmetrical triangle of coefficients read by rows: t(n,m)=(n - m + 1)*(m + 1)*binomial[n, m].
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4
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1, 2, 2, 3, 8, 3, 4, 18, 18, 4, 5, 32, 54, 32, 5, 6, 50, 120, 120, 50, 6, 7, 72, 225, 320, 225, 72, 7, 8, 98, 378, 700, 700, 378, 98, 8, 9, 128, 588, 1344, 1750, 1344, 588, 128, 9, 10, 162, 864, 2352, 3780, 3780, 2352, 864, 162, 10, 11, 200, 1215, 3840, 7350, 9072, 7350
(list; table; graph; refs; listen; history; internal format)
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OFFSET
| 1,2
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COMMENTS
| Row sums are: {1, 4, 14, 44, 128, 352, 928, 2368, 5888, 14336, 34304, ...}.
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EXAMPLE
| {1},
{2, 2},
{3, 8, 3},
{4, 18, 18, 4},
{5, 32, 54, 32, 5},
{6, 50, 120, 120, 50, 6},
{7, 72, 225, 320, 225, 72, 7},
{8, 98, 378, 700, 700, 378, 98, 8},
{9, 128, 588, 1344, 1750, 1344, 588, 128, 9},
{10, 162, 864, 2352, 3780, 3780, 2352, 864, 162, 10},
{11, 200, 1215, 3840, 7350, 9072, 7350, 3840, 1215, 200, 11}
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MATHEMATICA
| t[n_, m_] := (n - m + 1)*(m + 1)*Binomial[n, m]; Table[Table[t[n, m], {m, 0, n}], {n, 0, 10}]; Flatten[%]
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CROSSREFS
| Sequence in context: A099870 A110985 A153216 * A145596 A135835 A177696
Adjacent sequences: A141608 A141609 A141610 * A141612 A141613 A141614
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KEYWORD
| nonn,tabl
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AUTHOR
| Roger L. Bagula and Gary W. Adamson (rlbagulatftn(AT)yahoo.com), Aug 22 2008
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