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.

A361245 Number of noncrossing 2,3 cacti with n nodes.

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%I A361245 #8 Mar 11 2023 00:13:10
%S A361245 1,1,1,4,20,115,715,4683,31824,222300,1586310,11514030,84742320,
%T A361245 630946446,4743789260,35965715780,274659794160,2110810059795,
%U A361245 16312695488265,126693445737170,988340783454380,7740875273884445,60846920004855985,479854293574853085
%N A361245 Number of noncrossing 2,3 cacti with n nodes.
%C A361245 A 2,3 cactus is a cactus composed of bridges and triangles.
%H A361245 Andrew Howroyd, <a href="/A361245/b361245.txt">Table of n, a(n) for n = 0..500</a>
%H A361245 Wikipedia, <a href="https://en.wikipedia.org/wiki/Cactus_graph">Cactus graph</a>.
%H A361245 <a href="/index/Ca#cacti">Index entries for sequences related to cacti</a>.
%o A361245 (PARI) seq(n) = Vec(1 + x/(1 - serreverse((sqrt(1 + 4*x + O(x^n)) - 1)*(1 - x)^2/2)))
%Y A361245 Cf. A091481, A091485, A091486, A091487, A361242, A361244.
%K A361245 nonn
%O A361245 0,4
%A A361245 _Andrew Howroyd_, Mar 08 2023