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 A290593 Number of maximal independent vertex sets (and minimal vertex covers) in the n-antiprism graph. 0
 3, 12, 15, 31, 49, 92, 156, 279, 484, 855, 1495, 2629, 4608, 8092, 14195, 24916, 43719, 76727, 134641, 236284, 414644, 727655, 1276940, 2240879, 3932463, 6900997, 12110400, 21252276, 37295139, 65448412, 114853951, 201554639, 353703729, 620706780, 1089264460, 1911525879 (list; graph; refs; listen; history; text; internal format)
 OFFSET 3,1 LINKS Eric Weisstein's World of Mathematics, Antiprism Graph Eric Weisstein's World of Mathematics, Maximal Independent Vertex Set Eric Weisstein's World of Mathematics, Minimal Vertex Cover Index entries for linear recurrences with constant coefficients, signature (1, 1, 0, 1). FORMULA a(n) = a(n-1) + a(n-2) + a(n-4). G.f.: (x^3 (-3 - 9 x - 4 x^3))/(-1 + x + x^2 + x^4). MATHEMATICA Table[2 (-1)^n + RootSum[-1 + # - 2 #^2 + #^3 &, #^n &], {n, 3, 20}] LinearRecurrence[{1, 1, 0, 1}, {3, 12, 15, 31}, 20] CoefficientList[Series[(-3 - 9 x - 4 x^3)/(-1 + x + x^2 + x^4), {x, 0, 20}], x] CROSSREFS Sequence in context: A248105 A269315 A022380 * A005392 A001196 A096854 Adjacent sequences:  A290590 A290591 A290592 * A290594 A290595 A290596 KEYWORD nonn AUTHOR Eric W. Weisstein, Aug 07 2017 STATUS approved

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Last modified October 24 01:08 EDT 2018. Contains 316541 sequences. (Running on oeis4.)