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A165257
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Triangle in which n-th row is binomial(n+k-1,k), for column k=1..n.
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3
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1, 2, 3, 3, 6, 10, 4, 10, 20, 35, 5, 15, 35, 70, 126, 6, 21, 56, 126, 252, 462, 7, 28, 84, 210, 462, 924, 1716, 8, 36, 120, 330, 792, 1716, 3432, 6435, 9, 45, 165, 495, 1287, 3003, 6435, 12870, 24310
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OFFSET
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1,2
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LINKS
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EXAMPLE
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1;
2, 3;
3, 6, 10;
4, 10, 20, 35;
5, 15, 35, 70, 126;
6, 21, 56, 126, 252, 462;
7, 28, 84, 210, 462, 924, 1716;
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MATHEMATICA
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Table[Binomial[n+k-1, k], {n, 10}, {k, n}]//Flatten (* Harvey P. Dale, Jul 31 2021 *)
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PROG
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(PARI) tabl(nn) = {for (n=1, nn, for (k=1, n, print1( binomial(n+k-1, k), ", "); ); print(); ); } \\ Michel Marcus, Jun 12 2013
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CROSSREFS
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A059481 with the first column (k = 0) removed.
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KEYWORD
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AUTHOR
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Daniel McLaury (daniel.mclaury(AT)gmail.com), Sep 11 2009
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STATUS
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approved
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