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.

A294525 Triangle read by rows: T(n,k) is the number of simple connected graphs on n nodes with k center nodes.

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%I A294525 #18 Feb 16 2025 08:33:51
%S A294525 1,0,1,1,0,1,2,2,0,2,8,4,4,0,5,29,19,18,18,0,28,180,84,119,118,129,0,
%T A294525 223,1463,821,1055,1426,1390,1811,0,3151,20093,12485,17297,24853,
%U A294525 29987,30515,46177,0,79673,474063,343572,486446,763319,1015304,1247381,1296986,2235630,0,3853870
%N A294525 Triangle read by rows: T(n,k) is the number of simple connected graphs on n nodes with k center nodes.
%C A294525 The column sequences A052437-A052441 also include disconnected graphs. Disconnected graphs have an infinite radius and all nodes are considered a part of the center.
%H A294525 Sean A. Irvine, <a href="/A294525/b294525.txt">Table of n, a(n) for n = 1..78</a>
%H A294525 Eric Weisstein's World of Mathematics, <a href="https://mathworld.wolfram.com/GraphCenter.html">Graph Center</a>
%e A294525 Triangle begins:
%e A294525 :    1;
%e A294525 :    0,   1;
%e A294525 :    1,   0,    1;
%e A294525 :    2,   2,    0,    2;
%e A294525 :    8,   4,    4,    0,    5;
%e A294525 :   29,  19,   18,   18,    0,   28;
%e A294525 :  180,  84,  119,  118,  129,    0, 223;
%e A294525 : 1463, 821, 1055, 1426, 1390, 1811,   0, 3151;
%e A294525 ...
%Y A294525 Columns 1..5 except first term are A052437, A052438, A052439, A052440, A052441.
%Y A294525 Row sums give A001349.
%K A294525 nonn,tabl
%O A294525 1,7
%A A294525 _Andrew Howroyd_, Nov 01 2017