This is a front-end for the Online Encyclopedia of Integer Sequences, made by Christian Perfect. The idea is to provide OEIS entries in non-ancient HTML, and then to think about how they're presented visually. The source code is on GitHub.
%I A120626 #10 Feb 25 2025 17:12:25 %S A120626 1,2,5,14,14,46,46,382,446,1662,1662,3582,3582,4094,4094,130942, %T A120626 130942,458238,458238,1040382,1046526,2883582,3129342,16760830, %U A120626 16760830,56623102,66584318,367001598,367001598,670826494,670826494,8589672446,12348030974 %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="/A120626/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, A375077. %K A120626 nonn %O A120626 1,2 %A A120626 _Robert G. Wilson v_, Jun 19 2006 %E A120626 a(16)-a(17) from _Ryan Propper_, Oct 13 2006 %E A120626 Further terms from _Ryan Propper_, Dec 25 2007 %E A120626 Further terms from _Max Alekseyev_, Feb 04 2008