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A287062 Number of dominating sets in the 2n-crossed prism graph. 7
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

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 March 30 19:49 EDT 2020. Contains 333127 sequences. (Running on oeis4.)