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 A221861 #22 Apr 10 2013 22:21:01 %S A221861 0,0,2,2,4,2,3,3,3,3,5,3,12,4,4,4,16,5,9,3,5,6,14,3,4,4,4,4,18,4,30,4, %T A221861 6,9,4,4,36,6,8,4,40,5,21,5,5,10,23,4,7,7,10,7,52,8,9,6,13,7,15,4,8, %U A221861 14,5,5,5,6,18,8,17,5,7,5,72,21,5,14,9,8,23,5 %N A221861 The least number k that maximizes k! mod n. %H A221861 T. D. Noe, <a href="/A221861/b221861.txt">Table of n, a(n) for n = 1..10000</a> %e A221861 For n=11, we see that the factorial of 5 (120), modulo 11 is 10, which is the highest possible value, so the 11th term is 5. %o A221861 (Ruby) (1..100).map{|n|(0..n).max_by{|x|[(1..x).inject(1,:*)%n,-x]}} %Y A221861 Cf. A062170. %K A221861 nonn %O A221861 1,3 %A A221861 _Aaron Weiner_, Apr 10 2013