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A087727
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Triangle read by rows: T(n,k) = (2 * (binomial(n,k)) * (n + 2 * k + 3)!)/((k + 1)! * (k + 2)! * (n + 3)!).
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1
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1, 1, 5, 1, 14, 42, 1, 28, 210, 462, 1, 48, 660, 3432, 6006, 1, 75, 1650, 15015, 60060, 87516, 1, 110, 3575, 50050, 340340, 1108536, 1385670, 1, 154, 7007, 140140, 1429428, 7759752, 21339318, 23371634, 1, 208, 12740, 346528, 4938024, 39504192, 178474296, 424938800, 414315330
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OFFSET
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0,3
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LINKS
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EXAMPLE
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Triangle begins:
1;
1, 5;
1, 14, 42;
1, 28, 210, 462;
...
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PROG
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(PARI) t(n, k) = (2 * (binomial(n, k)) * (n + 2*k + 3)!)/((k + 1)! * (k + 2)! * (n + 3)!) \\ Michel Marcus, Jun 26 2013
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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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