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.

A263294 Triangle read by rows: T(n,k) is the number of unlabeled simple graphs with n vertices and treewidth k.

This page as a plain text file.
%I A263294 #44 Feb 03 2025 15:56:53
%S A263294 1,1,1,1,2,1,1,5,4,1,1,9,17,6,1,1,19,72,53,10,1,1,36,323,501,168,14,1,
%T A263294 1,75,1639,5889,4163,557,21,1,1,152,9203,81786,138923,42596,1977,29,1
%N A263294 Triangle read by rows: T(n,k) is the number of unlabeled simple graphs with n vertices and treewidth k.
%C A263294 A graph without edges has treewidth 0, any other forest has treewidth 1, any other series parallel graph has treewidth 2. - _Martin Rubey_, May 10 2023
%H A263294 FindStat - Combinatorial Statistic Finder, <a href="http://www.findstat.org/StatisticsDatabase/St000272">The treewidth of a graph</a>.
%H A263294 Wikipedia, <a href="https://en.wikipedia.org/wiki/Treewidth">Treewidth</a>
%e A263294 Triangle begins:
%e A263294   1;
%e A263294   1,   1;
%e A263294   1,   2,    1;
%e A263294   1,   5,    4,     1;
%e A263294   1,   9,   17,     6,      1;
%e A263294   1,  19,   72,    53,     10,     1;
%e A263294   1,  36,  323,   501,    168,    14,    1;
%e A263294   1,  75, 1639,  5889,   4163,   557,   21,  1;
%e A263294   1, 152, 9203, 81786, 138923, 42596, 1977, 29, 1;
%e A263294   ...
%Y A263294 Columns k=2..3 are A362908, A362907.
%Y A263294 Partial row sums include A000012, A005195, A000041.
%Y A263294 Row sums are A000088.
%Y A263294 T(n,n-2) = A000065(n).
%K A263294 nonn,tabl,more
%O A263294 1,5
%A A263294 _Christian Stump_, Oct 13 2015
%E A263294 Corrected and extended by _Martin Rubey_, May 10 2023