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A102537
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Triangle T(n,k) read by rows: 1/n * C(2n+k,k-1) * C(n,k).
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3
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1, 1, 3, 1, 8, 12, 1, 15, 55, 55, 1, 24, 156, 364, 273, 1, 35, 350, 1400, 2380, 1428, 1, 48, 680, 4080, 11628, 15504, 7752, 1, 63, 1197, 9975, 41895, 92169, 100947, 43263, 1, 80, 1960, 21560, 123970, 396704, 708400, 657800, 246675, 1, 99, 3036, 42504
(list; table; graph; refs; listen; history; internal format)
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OFFSET
| 1,3
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COMMENTS
| Number of dissections of a convex (2n+2)-gon by k-1 noncrossing diagonals into (2j+2)-gons, 1<=j<=n-1.
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LINKS
| E. Tzanaki, Polygon dissections...
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EXAMPLE
| 1
1,3
1,8,12
1,15,55,55
1,24,156,364,273
1,35,350,1400,2380,1428
1,48,680,4080,11628,15504,7752
1,63,1197,9975,41895,92169,100947,43263
1,80,1960,21560,123970,396704,708400,657800,246675
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CROSSREFS
| Left-hand columns include A005563. Right-hand columns include essentially A001764 and A013698. Row sums are in A003168.
Sequence in context: A120236 A049760 A019146 * A131202 A067955 A049965
Adjacent sequences: A102534 A102535 A102536 * A102538 A102539 A102540
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KEYWORD
| nonn,tabl
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AUTHOR
| Ralf Stephan, Jan 14 2005
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