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 A287062 Number of dominating sets in the 2n-crossed prism graph. 8
 11, 183, 2417, 32499, 436281, 5857683, 78646537, 1055926979, 14177123321, 190345385523, 2555621823337, 34312378451619, 460686046833881, 6185278996234003, 83045007601555017, 1114981764240774019, 14970006873311301561, 200990826015513435123 (list; graph; refs; listen; history; text; internal format)
 OFFSET 1,1 COMMENTS Sequence extended to n=1 using recurrence. - Andrew Howroyd, May 21 2017 LINKS Andrew Howroyd, Table of n, a(n) for n = 1..200 Eric Weisstein's World of Mathematics, Crossed Prism Graph Eric Weisstein's World of Mathematics, Dominating Set Index entries for linear recurrences with constant coefficients, signature (11, 31, 21, 2). FORMULA From Andrew Howroyd, May 21 2017 (Start) a(n) = 11*a(n-1)+31*a(n-2)+21*a(n-3)+2*a(n-4). G.f.: x*(11+62*x+63*x^2+8*x^3)/((1+x)*(1-12*x-19*x^2-2*x^3)). (End) MATHEMATICA LinearRecurrence[{11, 31, 21, 2}, {11, 183, 2417, 32499}, 20] (* Eric W. Weisstein, May 27 2017 *) Table[(-1)^n + RootSum[-2 - 19 # - 12 #^2 + #^3 &, #^n &], {n, 20}] (* Eric W. Weisstein, May 27 2017 *) PROG (PARI) Vec((11+62*x+63*x^2+8*x^3)/((1+x)*(1-12*x-19*x^2-2*x^3)) + O(x^20)) \\ Andrew Howroyd, May 21 2017 CROSSREFS Sequence in context: A270663 A068648 A209351 * A215203 A034787 A001408 Adjacent sequences: A287059 A287060 A287061 * A287063 A287064 A287065 KEYWORD nonn AUTHOR Eric W. Weisstein, May 19 2017 EXTENSIONS a(1) and a(8)-a(18) from Andrew Howroyd, May 21 2017 STATUS approved

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Last modified July 23 21:46 EDT 2024. Contains 374575 sequences. (Running on oeis4.)