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.

A297558 Number of maximum matchings in the n-Apollonian network.

This page as a plain text file.
%I A297558 #13 May 30 2025 15:47:56
%S A297558 3,32,738,615514464,5030805301520123200352256,
%T A297558 72175948705150863615789780847197889452411340074927861143342108815392768
%N A297558 Number of maximum matchings in the n-Apollonian network.
%C A297558 From _Andrew Howroyd_, May 30 2025: (Start)
%C A297558 For n >= 3, the maximum size of a matching is given by A289521(n-1). For n < 3 the maximum size is n + 1.
%C A297558 Term a(7) has 208 decimal digits and a(8) has 618 decimal digits. (End)
%H A297558 Andrew Howroyd, <a href="/A297558/b297558.txt">Table of n, a(n) for n = 1..8</a>
%H A297558 Eric Weisstein's World of Mathematics, <a href="https://mathworld.wolfram.com/ApollonianNetwork.html">Apollonian Network</a>.
%H A297558 Eric Weisstein's World of Mathematics, <a href="https://mathworld.wolfram.com/Matching.html">Matching</a>.
%H A297558 Eric Weisstein's World of Mathematics, <a href="https://mathworld.wolfram.com/MaximumIndependentEdgeSet.html">Maximum Independent Edge Set</a>.
%o A297558 (PARI) \\ Needs a(n,x) defined in A292429.
%o A297558 vector(6,n,pollead(a(n,x))) \\ _Andrew Howroyd_, May 30 2025
%Y A297558 Cf. A289521, A292429.
%K A297558 nonn
%O A297558 1,1
%A A297558 _Eric W. Weisstein_, Dec 31 2017
%E A297558 a(5) onwards from _Andrew Howroyd_, May 30 2025