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.

A325304 Irregular triangle read by rows: T(n,k) is the number of simple connected graphs on n unlabeled nodes with matching number k, (0 <= k <= floor(n/2)).

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%I A325304 #17 Feb 16 2025 08:33:58
%S A325304 1,1,0,1,0,2,0,1,5,0,1,20,0,1,16,95,0,1,22,830,0,1,29,790,10297,0,1,
%T A325304 37,1479,259563,0,1,46,2625,166988,11546911
%N A325304 Irregular triangle read by rows: T(n,k) is the number of simple connected graphs on n unlabeled nodes with matching number k, (0 <= k <= floor(n/2)).
%H A325304 Eric Weisstein's World of Mathematics, <a href="https://mathworld.wolfram.com/MatchingNumber.html">Matching Number</a>
%H A325304 Wikipedia, <a href="https://en.wikipedia.org/wiki/Matching_(graph_theory)">Matching (graph theory)</a>
%F A325304 T(2*n, n) = A218463(n).
%e A325304 Triangle begins:
%e A325304   1;
%e A325304   1;
%e A325304   0, 1;
%e A325304   0, 2;
%e A325304   0, 1,  5;
%e A325304   0, 1, 20;
%e A325304   0, 1, 16,   95;
%e A325304   0, 1, 22,  830;
%e A325304   0, 1, 29,  790,  10297;
%e A325304   0, 1, 37, 1479, 259563;
%e A325304   0, 1, 46, 2625, 166988, 11546911;
%e A325304   ...
%Y A325304 Columns k=2..3 are A243800, A243801.
%Y A325304 Row sums are A001349.
%Y A325304 Cf. A286951 (not necessarily connected).
%Y A325304 Cf. A218463 (right diagonal, even terms).
%Y A325304 Cf. A263341, A294490.
%K A325304 nonn,tabf,more
%O A325304 0,6
%A A325304 _Andrew Howroyd_, Sep 05 2019