%I A120626
%S A120626 1,2,5,14,14,46,46,382,446,1662,1662,3582,3582,4094,4094,130942,130942,
%T A120626 458238,458238,1040382,1046526,2883582,3129342,16760830,16760830,56623102,
%U A120626 66584318,367001598,367001598,670826494,670826494,8589672446,12348030974
%N A120626 Least number k such that the k-th Catalan number C(2k,k)/(k+1) is divisible 
               by n!.
%H A120626 Max Alekseyev, <a href="b120626.txt">Table of n, a(n) for n = 1..189</
               a>
%t A120626 f[0] = 1, f[n_] := Block[{k = f[n - 1]}, While[ !IntegerQ[ Binomial[2k, 
               k]/(n!(k + 1))], k++ ]; k]; Array[f, 20]
%Y A120626 Cf. A000108.
%Y A120626 Sequence in context: A016737 A151854 A146526 this_sequence A046058 A137271 
               A131356
%Y A120626 Adjacent sequences: A120623 A120624 A120625 this_sequence A120627 A120628 
               A120629
%K A120626 nonn
%O A120626 1,2
%A A120626 Robert G. Wilson v (rgwv(AT)rgwv.com), Jun 19 2006
%E A120626 More terms from Ryan Propper (rpropper(AT)stanford.edu), Oct 13 2006
%E A120626 Further terms from Ryan Propper (rpropper(AT)cs.stanford.edu), Dec 25 
               2007
%E A120626 Further terms from Max Alekseyev, Feb 04 2008