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.

A347502 Number of dominating sets in the n-cycle complement graph.

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%I A347502 #9 Feb 16 2025 08:34:02
%S A347502 0,-1,-1,1,9,21,51,113,239,493,1003,2025,4071,8165,16355,32737,65503,
%T A347502 131037,262107,524249,1048535,2097109,4194259,8388561,16777167,
%U A347502 33554381,67108811,134217673,268435399,536870853,1073741763,2147483585,4294967231,8589934525
%N A347502 Number of dominating sets in the n-cycle complement graph.
%C A347502 Sequence extended to a(0) using the generating function.
%H A347502 Eric Weisstein's World of Mathematics, <a href="https://mathworld.wolfram.com/CycleComplementGraph.html">Cycle Complement Graph</a>
%H A347502 Eric Weisstein's World of Mathematics, <a href="https://mathworld.wolfram.com/DominatingSet.html">Dominating Set</a>
%H A347502 <a href="/index/Rec#order_03">Index entries for linear recurrences with constant coefficients</a>, signature (4,-5,2).
%F A347502 a(n) = A070313(n) = 2^n-2*n-1 for n != 4.
%F A347502 G.f.: x^3*(-1 - 5*x + 10*x^2 - 10*x^3 + 4*x^4)/((-1 + x)^2*(-1 + 2*x)).
%F A347502 E.g.f.: exp(2*x) + x^4/12 - exp(x)*(1 + 2*x). - _Stefano Spezia_, Sep 04 2021
%Y A347502 Cf. A070313.
%K A347502 sign,easy
%O A347502 0,5
%A A347502 _Eric W. Weisstein_, Sep 04 2021