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A096130
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Triangle read by rows: T(n,k) = binomial(k*n,n), 1 <= k <= n.
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4
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1, 1, 6, 1, 20, 84, 1, 70, 495, 1820, 1, 252, 3003, 15504, 53130, 1, 924, 18564, 134596, 593775, 1947792, 1, 3432, 116280, 1184040, 6724520, 26978328, 85900584, 1, 12870, 735471, 10518300, 76904685, 377348994, 1420494075, 4426165368, 1, 48620, 4686825, 94143280, 886163135, 5317936260, 23667689815, 85113005120, 260887834350
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OFFSET
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1,3
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LINKS
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FORMULA
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T(n, 1) = 1;
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EXAMPLE
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Triangle begins:
1;
1, 6;
1, 20, 84;
1, 70, 495, 1820;
1, 252, 3003, 15504, 53130;
...
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MAPLE
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a:=(n, k)->binomial(k*n, n): seq(seq(a(n, k), k=1..n), n=1..10); # Muniru A Asiru, Aug 12 2018
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PROG
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(PARI) tabl(nrows) = {for (n=1, nrows, for (k=1, n, print1(binomial(k*n, n), ", "); ); print(); ); } \\ Michel Marcus, May 14 2013
(GAP) Flat(List([1..10], n->List([1..n], k->Binomial(k*n, n)))); # Muniru A Asiru, Aug 12 2018
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CROSSREFS
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KEYWORD
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AUTHOR
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EXTENSIONS
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STATUS
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approved
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