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.

A123549 Number of unlabeled connected bicolored graphs on 2n nodes which are invariant when the two color classes are interchanged.

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%I A123549 #11 Sep 02 2019 05:23:44
%S A123549 1,1,2,7,36,265,3039,56532,1795771,100752242,10189358360,
%T A123549 1879720735880,637617233537026,400169631647375590,
%U A123549 467115844246503901102,1018822456144128438039598,4169121243929999956903622399,32126195519194538601647462868271
%N A123549 Number of unlabeled connected bicolored graphs on 2n nodes which are invariant when the two color classes are interchanged.
%D A123549 R. W. Robinson, Numerical implementation of graph counting algorithms, AGRC Grant, Math. Dept., Univ. Newcastle, Australia, 1978.
%F A123549 a(n) = 2*A005142(2*n) - A318870(2*n). - _Andrew Howroyd_, Sep 04 2018
%t A123549 A005142 = Import["https://oeis.org/A005142/b005142.txt", "Table"][[All, 2]];
%t A123549 A318870 = Import["https://oeis.org/A318870/b318870.txt", "Table"][[All, 2]];
%t A123549 a[n_] := 2*A005142[[2*n + 1]] - A318870[[2*n + 1]];
%t A123549 a /@ Range[0, 17] (* _Jean-François Alcover_, Sep 02 2019 *)
%Y A123549 Row sums of A123550.
%Y A123549 Cf. A005142, A318869, A318870.
%K A123549 nonn
%O A123549 0,3
%A A123549 _N. J. A. Sloane_, Nov 14 2006
%E A123549 a(0)=1 prepended and terms a(8) and beyond from _Andrew Howroyd_, Sep 04 2018