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.

A217580 Triangular array read by rows. T(n,k) is the number of labeled digraphs on n nodes with exactly k isolated nodes. 0<=k<=n.

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%I A217580 #12 Oct 24 2012 19:16:59
%S A217580 1,0,1,3,0,1,54,9,0,1,3861,216,18,0,1,1028700,19305,540,30,0,1,
%T A217580 1067510583,6172200,57915,1080,45,0,1,4390552197234,7472574081,
%U A217580 21602700,135135,1890,63,0,1,72022439672173161,35124417577872,29890296324,57607200,270270,3024,84,0,1
%N A217580 Triangular array read by rows. T(n,k) is the number of labeled digraphs on n nodes with exactly k isolated nodes. 0<=k<=n.
%C A217580 Column k=0 is A054545.
%F A217580 E.g.f.: exp(y*x)*A(x) where A(x) is the e.g.f. for A054545.
%e A217580 1;
%e A217580 0, 1;
%e A217580 3, 0, 1;
%e A217580 54, 9, 0, 1;
%e A217580 3861, 216, 18, 0, 1;
%e A217580 1028700, 19305, 540, 30, 0, 1;
%e A217580 1067510583, 6172200, 57915, 1080, 45, 0, 1;
%t A217580 nn=6; s=Sum[2^(2 Binomial[n,2])x^n/n!, {n,0,nn}]; Range[0,nn]! CoefficientList[Series[Exp[y x] s/Exp[x], {x,0,nn}], {x,y}] //Grid
%K A217580 nonn,tabl
%O A217580 0,4
%A A217580 _Geoffrey Critzer_, Oct 07 2012