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A120626
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Least number k such that the k-th Catalan number C(2k,k)/(k+1) is divisible by n!.
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5
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1, 2, 5, 14, 14, 46, 46, 382, 446, 1662, 1662, 3582, 3582, 4094, 4094, 130942, 130942, 458238, 458238, 1040382, 1046526, 2883582, 3129342, 16760830, 16760830, 56623102, 66584318, 367001598, 367001598, 670826494, 670826494, 8589672446, 12348030974
(list; graph; refs; listen; history; internal format)
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OFFSET
| 1,2
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LINKS
| Max Alekseyev, Table of n, a(n) for n = 1..189
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MATHEMATICA
| f[0] = 1, f[n_] := Block[{k = f[n - 1]}, While[ !IntegerQ[ Binomial[2k, k]/(n!(k + 1))], k++ ]; k]; Array[f, 20]
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CROSSREFS
| Cf. A000108.
Sequence in context: A016737 A151854 A146526 * A046058 A137271 A131356
Adjacent sequences: A120623 A120624 A120625 * A120627 A120628 A120629
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KEYWORD
| nonn
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AUTHOR
| Robert G. Wilson v (rgwv(AT)rgwv.com), Jun 19 2006
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EXTENSIONS
| More terms from Ryan Propper (rpropper(AT)stanford.edu), Oct 13 2006
Further terms from Ryan Propper (rpropper(AT)cs.stanford.edu), Dec 25 2007
Further terms from Max Alekseyev, Feb 04 2008
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