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Number of total dominating sets in the n-alkane graph.
1

%I #10 Sep 05 2021 04:28:12

%S 15,64,256,1024,4096,16384,65536,262144,1048576,4194304,16777216,

%T 67108864,268435456,1073741824,4294967296,17179869184,68719476736,

%U 274877906944,1099511627776,4398046511104,17592186044416,70368744177664,281474976710656,1125899906842624

%N Number of total dominating sets in the n-alkane graph.

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

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

%F a(n) = 4^(n+1) for n > 1.

%Y Cf. A000302 (powers of 4).

%Y Cf. A180148, A228602, A347501.

%K nonn,easy

%O 1,1

%A _Eric W. Weisstein_, Sep 03 2021