The OEIS Foundation is supported by donations from users of the OEIS and by a grant from the Simons Foundation.

 Hints (Greetings from The On-Line Encyclopedia of Integer Sequences!)
 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

Lookup | Welcome | Wiki | Register | Music | Plot 2 | Demos | Index | Browse | More | WebCam
Contribute new seq. or comment | Format | Style Sheet | Transforms | Superseeker | Recent
The OEIS Community | Maintained by The OEIS Foundation Inc.

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