login

Year-end appeal: Please make a donation to the OEIS Foundation to support ongoing development and maintenance of the OEIS. We are now in our 61st year, we have over 378,000 sequences, and we’ve reached 11,000 citations (which often say “discovered thanks to the OEIS”).

Least k such that n! divides C(2k,k).
0

%I #9 Oct 19 2017 03:14:04

%S 1,1,2,7,14,15,43,191,239,383,383,1919,1919,3967,4091,65471,65471,

%T 129023,129023,516095,516095,917503,1046527,8323071,8323071,16760831,

%U 16760831,113246207,113246207,367001599,367001599,4294967291

%N Least k such that n! divides C(2k,k).

%t a[n_] := Block[{k = 1}, While[ !IntegerQ[ Binomial[2k, k] / n! ], k++ ]; k]; Table[ a[n], {n, 1, 16}]

%o (PARI) for(n=1,16,s=1; while(binomial(2*s,s)%n!>0,s++); print1(s,","))

%K nonn

%O 1,3

%A _Benoit Cloitre_, Jun 19 2002

%E Edited and extended by _Robert G. Wilson v_, Jun 21 2002

%E More terms from _Naohiro Nomoto_, Jun 26 2002

%E More terms from _Don Reble_, Jul 01 2002