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 A316563 #9 Jul 10 2018 18:43:40
%S A316563 1,3,6,6,10,12,14,8,18,30,22,12,26,42,30,16,34,18,38,30,42,66,46,24,
%T A316563 50,78,54,42,58,60,62,32,66,102,70,36,74,114,78,40,82,84,86,66,90,138,
%U A316563 94,48,98,150,102,78,106,54,110,56,114,174,118,60,122,186,126
%N A316563 Maximum order of an element in the special linear group SL(2, Z(n)).
%H A316563 Andrew Howroyd, <a href="/A316563/b316563.txt">Table of n, a(n) for n = 1..100</a>
%o A316563 (GAP) Concatenation([1], List([2..15], n->Maximum(List(SL(2, Integers mod n), Order))));
%o A316563 (PARI)
%o A316563 MatOrder(M)={my(id=matid(#M), k=1, N=M); while(N<>id, k++;N=N*M); k}
%o A316563 a(n)={my(m=0); for(a=0, n-1, for(b=0, n-1, for(c=0, n-1, for(d=0, n-1, my(M=Mod([a, b; c, d], n)); if(matdet(M)==1, m=max(m, MatOrder(M))))))); m}
%Y A316563 Row lengths of A316564.
%Y A316563 Cf. A000056, A316537, A316565.
%K A316563 nonn
%O A316563 1,2
%A A316563 _Andrew Howroyd_, Jul 06 2018