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A365581 Number of dominating sets in the n-double cone graph. 1

%I #15 Jun 14 2024 17:45:35

%S 113,377,1465,5617,21425,82697,320225,1244825,4858529,19024217,

%T 74709913,294150497,1160734753,4589261321,18175460993,72087537961,

%U 286271974993,1138057489337,4528446220985,18033325101905,71861106931793,286523603727881,1142979289706465

%N Number of dominating sets in the n-double cone graph.

%H Christian Sievers, <a href="/A365581/b365581.txt">Table of n, a(n) for n = 3..1000</a>

%H Eric Weisstein's World of Mathematics, <a href="http://mathworld.wolfram.com/DominatingSet.html">Dominating Set</a>

%H Eric Weisstein's World of Mathematics, <a href="http://mathworld.wolfram.com/DoubleConeGraph.html">Double Cone Graph</a>

%F a(n) = 4^n + A001644(n)^2. - _Christian Sievers_, Jun 13 2024

%o (PARI) a(n)=4^n+polsym(1+x+x^2-x^3,n)[n+1]^2 \\ _Christian Sievers_, Jun 13 2024

%K nonn,changed

%O 3,1

%A _Eric W. Weisstein_, Sep 10 2023

%E a(14)-a(15) from _Eric W. Weisstein_, Feb 09 2024

%E a(16) and beyond from _Christian Sievers_, Jun 13 2024

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Last modified June 23 17:30 EDT 2024. Contains 373653 sequences. (Running on oeis4.)