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A157109
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Triangle read by rows: t(n,m)=Binomial[n*Binomial[n, Floor[(n - m)/2]], m].
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0
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1, 1, 1, 1, 2, 1, 1, 9, 3, 1, 1, 16, 120, 4, 1, 1, 50, 300, 2300, 5, 1, 1, 90, 4005, 7140, 58905, 6, 1, 1, 245, 10731, 518665, 211876, 1906884, 7, 1, 1, 448, 100128, 1848224, 102114376, 7624512, 74974368, 8, 1, 1, 1134, 285390, 71728020, 450710001
(list; table; graph; refs; listen; history; internal format)
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OFFSET
| 0,5
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COMMENTS
| Row sums are:
{1, 2, 4, 14, 142, 2657, 70148, 2648410, 186662066, 33169921436,
11592123179902,...}.
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FORMULA
| t(n,m)=Binomial[n*Binomial[n, Floor[(n - m)/2]], m].
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EXAMPLE
| {1},
{1, 1},
{1, 2, 1},
{1, 9, 3, 1},
{1, 16, 120, 4, 1},
{1, 50, 300, 2300, 5, 1},
{1, 90, 4005, 7140, 58905, 6, 1},
{1, 245, 10731, 518665, 211876, 1906884, 7, 1},
{1, 448, 100128, 1848224, 102114376, 7624512, 74974368, 8, 1},
{1, 1134, 285390, 71728020, 450710001, 28845440064, 324540216, 3477216600, 9, 1},
{1, 2100, 2203950, 287280400, 85968659700, 150382743840, 11153386834800, 16007560800, 186087894300, 10, 1}
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MATHEMATICA
| Table[Table[Binomial[n*Binomial[n, Floor[(n - m)/2]], m], {m, 0, n}], {n, 0, 10}] Flatten[%]
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CROSSREFS
| Sequence in context: A165889 A087127 A144946 * A185814 A174553 A167015
Adjacent sequences: A157106 A157107 A157108 * A157110 A157111 A157112
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KEYWORD
| nonn,tabl,uned
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AUTHOR
| Roger L. Bagula (rlbagulatftn(AT)yahoo.com), Feb 23 2009
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