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.

A347512 Number of minimal dominating sets in the n-book graph.

This page as a plain text file.
%I A347512 #13 Feb 16 2025 08:34:02
%S A347512 6,7,11,19,35,67,131,259,515,1027,2051,4099,8195,16387,32771,65539,
%T A347512 131075,262147,524291,1048579,2097155,4194307,8388611,16777219,
%U A347512 33554435,67108867,134217731,268435459,536870915,1073741827,2147483651,4294967299,8589934595
%N A347512 Number of minimal dominating sets in the n-book graph.
%H A347512 Eric Weisstein's World of Mathematics, <a href="https://mathworld.wolfram.com/BookGraph.html">Book Graph</a>
%H A347512 Eric Weisstein's World of Mathematics, <a href="https://mathworld.wolfram.com/MinimalDominatingSet.html">Minimal Dominating Set</a>
%H A347512 <a href="/index/Rec#order_02">Index entries for linear recurrences with constant coefficients</a>, signature (3,-2).
%F A347512 a(n) = A062709(n) = 2^n + 3 for n > 1.
%F A347512 G.f.: x*(6 - 11*x + 2*x^2)/((-1 + x)*(-1 + 2*x)).
%F A347512 E.g.f.: exp(x)*(3 + exp(x)) - 4 + x. - _Stefano Spezia_, Sep 04 2021
%t A347512 Join[{6}, 2^Range[2, 20] + 3]
%t A347512 CoefficientList[Series[(6 - 11 x + 2 x^2)/((-1 + x) (-1 + 2 x)), {x, 0, 20}], x]
%Y A347512 Cf. A062709 (essentially the same).
%K A347512 nonn,easy
%O A347512 1,1
%A A347512 _Eric W. Weisstein_, Sep 04 2021