A120626 Least number k such that the k-th Catalan number C(2k,k)/(k+1) is divisible by n!.

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

Offset

1,2

Links

Max Alekseyev, Table of n, a(n) for n = 1..189

Mathematica

f[0] = 1, f[n_] := Block[{k = f[n - 1]}, While[ !IntegerQ[ Binomial[2k, k]/(n!(k + 1))], k++ ]; k]; Array[f, 20]

Crossrefs

Cf. A000108, A375077.

Sequence in context: A289682 A151854 A146526 * A046058 A137271 A131356

Adjacent sequences: A120623 A120624 A120625 * A120627 A120628 A120629

Keyword

nonn,changed

Author

Robert G. Wilson v, Jun 19 2006

Extensions

a(16)-a(17) from Ryan Propper, Oct 13 2006

Further terms from Ryan Propper, Dec 25 2007

Further terms from Max Alekseyev, Feb 04 2008

Status

approved