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 A079194 #12 May 20 2022 13:00:47 %S A079194 0,0,2,2,0,8,66,3115,0,1,14,18,270,467,48260,178888824 %N A079194 Number of isomorphism classes of non-associative non-commutative closed binary operations on a set of order n, listed by class size. %C A079194 Elements per row: 1,1,2,4,8,16,30,... (given by A027423, number of positive divisors of n!) %H A079194 C. van den Bosch, <a href="http://cosmos.ucc.ie/~cjvdb1/html/binops.shtml">Closed binary operations on small sets</a> %H A079194 <a href="/index/Gre#groupoids">Index entries for sequences related to groupoids</a> %F A079194 T(n,k) + A079197(n,k) + A079200(n,k) + A079201(n,k) = A079171(n,k). %F A079194 A079192(n,k) = Sum_{k>=1} T(n,k)*A079210(n,k). %e A079194 Triangle T(n,k) begins: %e A079194 0; %e A079194 0; %e A079194 2, 2; %e A079194 0, 8, 66, 3115; %e A079194 0, 1, 14, 18, 270, 467, 48260, 178888824; %e A079194 ... %Y A079194 Row sums give A079193. %Y A079194 Cf. A027423 (row lengths), A079171, A079192, A079197, A079200, A079201, A079210. %K A079194 nonn,tabf,hard,more %O A079194 0,3 %A A079194 Christian van den Bosch (cjb(AT)cjb.ie), Jan 03 2003 %E A079194 a(0)=0 prepended by _Andrew Howroyd_, Jan 26 2022