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.

A368456 Number of independent vertex sets in the n-Dorogovtsev-Goltsev-Mendes graph.

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%I A368456 #12 Feb 16 2025 08:34:06
%S A368456 3,4,14,1120,1129856000,1429646991180169216000000000,
%T A368456 2922003679260403682236915960536301659966658013592289280000000000000000000000000000
%N A368456 Number of independent vertex sets in the n-Dorogovtsev-Goltsev-Mendes graph.
%C A368456 Using the indexing convention that DGM(0) = P_2.
%H A368456 Andrew Howroyd, <a href="/A368456/b368456.txt">Table of n, a(n) for n = 0..8</a>
%H A368456 Eric Weisstein's World of Mathematics, <a href="https://mathworld.wolfram.com/Dorogovtsev-Goltsev-MendesGraph.html">Dorogovtsev-Goltsev-Mendes Graph</a>.
%H A368456 Eric Weisstein's World of Mathematics, <a href="https://mathworld.wolfram.com/IndependentVertexSet.html">Independent Vertex Set</a>.
%F A368456 a(n) = b(n) + 2*c(n) where b(0) = c(0) = 1 and c(n) = b(n-1)*c(n-1)^2, b(n) = c(n) + b(n-1)^3 for n > 0. - _Andrew Howroyd_, Dec 30 2023
%o A368456 (PARI) a(n) = {my(b=1, c=1); for(k=1, n, c = b*c^2; b = b^3 + c); b + 2*c} \\ _Andrew Howroyd_, Dec 30 2023
%K A368456 nonn
%O A368456 0,1
%A A368456 _Eric W. Weisstein_, Dec 25 2023
%E A368456 a(0) prepended and terms a(5) and beyond from _Andrew Howroyd_, Dec 30 2023