cp's OEIS Frontend

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.

A120945 Triangle T(n,k) of number of labeled directed multigraphs (with loops), without isolated vertices, with n arrows and k vertices (n = 1,2,.., k = 1..2*n).

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%I A120945 #5 May 10 2013 12:45:46
%S A120945 1,2,1,8,18,12,1,18,108,272,300,120,1,33,393,2102,5700,8160,5880,1680,
%T A120945 1,54,1122,10688,53550,153132,258720,255360,136080,30240,1,82,2754,
%U A120945 42752,351650,1688892,5025832,9540272,11566800,8668800,3659040,665280
%N A120945 Triangle T(n,k) of number of labeled directed multigraphs (with loops), without isolated vertices, with n arrows and k vertices (n = 1,2,.., k = 1..2*n).
%F A120945 T(n,k) = Sum_{j=0..k} (-1)^(k-j)*binomial(k,j)*binomial(j^2+n-1,n). Row sums give A104209.
%F A120945 E.g.f.: exp(-x)*Sum((1-y)^(-n^2)*x^n/n!,n=0..infinity). - _Vladeta Jovovic_, Aug 24 2006
%e A120945 [1,2], [1,8,18,12], [1,18,108,272,300,120], [1,33,393,2102,5700,8160,5880,1680], ....
%Y A120945 Row sums give A104209.
%K A120945 nonn,tabf
%O A120945 1,2
%A A120945 _Vladeta Jovovic_, Aug 19 2006