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.

A327365 Triangle read by rows where T(n,k) is the number of unlabeled simple graphs covering n vertices with vertex-connectivity >= k.

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%I A327365 #10 Dec 26 2020 23:54:05
%S A327365 1,0,0,1,1,0,2,2,1,0,7,6,3,1,0,23,21,10,3,1,0,122,112,56,17,4,1,0,888,
%T A327365 853,468,136,25,4,1,0,11302,11117,7123,2388,384,39,5,1,0,262322,
%U A327365 261080,194066,80890,14480,1051,59,5,1,0,11730500,11716571,9743542,5114079,1211735,102630,3211,87,6,1,0
%N A327365 Triangle read by rows where T(n,k) is the number of unlabeled simple graphs covering n vertices with vertex-connectivity >= k.
%C A327365 A graph is covering if there are no isolated vertices.
%C A327365 The vertex-connectivity of a graph is the minimum number of vertices that must be removed (along with any incident edges) to obtain a non-connected graph or singleton.
%H A327365 Gus Wiseman, <a href="/A327365/a327365.png">The graphs counted in row n = 4.</a>
%e A327365 Triangle begins:
%e A327365    1
%e A327365    0  0
%e A327365    1  1  0
%e A327365    2  2  1  0
%e A327365    7  6  3  1  0
%e A327365   23 21 10  3  1  0
%Y A327365 Column k = 0 is A002494.
%Y A327365 Column k = 1 is A001349 (connected graphs), if we assume A001349(0) = A001349(1) = 0.
%Y A327365 Column k = 2 is A002218 (2-connected graphs), if we assume A002218(2) = 0.
%Y A327365 The non-covering version is A327805, from which this sequence differs only in the k = 0 column.
%K A327365 nonn,tabl
%O A327365 0,7
%A A327365 _Gus Wiseman_, Sep 26 2019
%E A327365 Terms a(21) and beyond from _Andrew Howroyd_, Dec 26 2020