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
Keywords
Links
- Max Alekseyev, Table of n, a(n) for n = 1..189
Programs
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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]
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