%I #8 Oct 02 2013 15:12:52
%S 1,2,5,14,14,46,46,382,446,1662,1662,3582,3582,4094,4094,130942,
%T 130942,458238,458238,1040382,1046526,2883582,3129342,16760830,
%U 16760830,56623102,66584318,367001598,367001598,670826494,670826494,8589672446,12348030974
%N Least number k such that the k-th Catalan number C(2k,k)/(k+1) is divisible by n!.
%H Max Alekseyev, <a href="/A120626/b120626.txt">Table of n, a(n) for n = 1..189</a>
%t f[0] = 1, f[n_] := Block[{k = f[n - 1]}, While[ !IntegerQ[ Binomial[2k, k]/(n!(k + 1))], k++ ]; k]; Array[f, 20]
%Y Cf. A000108.
%K nonn
%O 1,2
%A _Robert G. Wilson v_, Jun 19 2006
%E More terms from _Ryan Propper_, Oct 13 2006
%E Further terms from _Ryan Propper_, Dec 25 2007
%E Further terms from Max Alekseyev, Feb 04 2008