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.

A361361 Triangle read by rows: T(n,k) is the number of bicolored cubic graphs on 2n unlabeled vertices with k vertices of the first color, n >= 0, 0 <= k <= 2*n.

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%I A361361 #13 Mar 11 2023 19:48:36
%S A361361 1,0,0,0,1,1,1,1,1,2,2,5,5,5,2,2,6,11,33,48,66,48,33,11,6,21,68,257,
%T A361361 556,950,1071,950,556,257,68,21,94,510,2443,7126,15393,23644,27606,
%U A361361 23644,15393,7126,2443,510,94,540,4712,27682,102122,270957,526783,781292,887305,781292,526783,270957,102122,27682,4712,540
%N A361361 Triangle read by rows: T(n,k) is the number of bicolored cubic graphs on 2n unlabeled vertices with k vertices of the first color, n >= 0, 0 <= k <= 2*n.
%C A361361 Adjacent vertices may have the same color.
%H A361361 Andrew Howroyd, <a href="/A361361/b361361.txt">Table of n, a(n) for n = 0..440</a> (rows 0..20)
%e A361361 Triangle begins:
%e A361361   1
%e A361361   0,   0,  0;
%e A361361   1,   1,  1,    1,   1;
%e A361361   2,   2,  5,    5,   5,    2,   2;
%e A361361   6,  11, 33,   48,  66,   48,  33,  11,   6;
%e A361361   21, 68, 257, 556, 950, 1071, 950, 556, 257, 68, 21;
%e A361361   ...
%Y A361361 Columns k=0..2 are A005638, A361410, A361411.
%Y A361361 Row sums are A361362.
%Y A361361 Central coefficients are A361409.
%Y A361361 Cf. A321304 (connected), A361404.
%K A361361 nonn,tabf
%O A361361 0,10
%A A361361 _Andrew Howroyd_, Mar 10 2023