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A290377
Number of minimal dominating sets in the n-antiprism graph.
4
4, 15, 12, 25, 55, 112, 188, 438, 789, 1573, 3135, 5980, 11848, 23035, 45020, 87873, 171910, 335464, 655397, 1281190, 2501173, 4888098, 9548543, 18653025, 36441500, 71190933, 139076320, 271694910, 530784135, 1036914040, 2025703900, 3957367099, 7731003525
OFFSET
2,1
LINKS
Eric Weisstein's World of Mathematics, Antiprism Graph
Eric Weisstein's World of Mathematics, Minimal Dominating Set
FORMULA
Empirical: a(n) = 2*a(n-2)+5*a(n-3)+a(n-4) -5*a(n-5)-8*a(n-6)+a(n-7) +6*a(n-8)+10*a(n-9)-2*a(n-10) -2*a(n-11)-5*a(n-12)+a(n-15) for n>16. - Andrew Howroyd, Aug 01 2017
Empirical g.f.: x^2*(4 + 15*x + 4*x^2 - 25*x^3 - 48*x^4 + 7*x^5 + 48*x^6 + 90*x^7 - 20*x^8 - 22*x^9 - 60*x^10 + 15*x^13) / (1 - 2*x^2 - 5*x^3 - x^4 + 5*x^5 + 8*x^6 - x^7 - 6*x^8 - 10*x^9 + 2*x^10 + 2*x^11 + 5*x^12 - x^15). - Colin Barker, Aug 01 2017
CROSSREFS
Sequence in context: A309526 A126601 A284119 * A332767 A095331 A163773
KEYWORD
nonn
AUTHOR
Eric W. Weisstein, Jul 28 2017
EXTENSIONS
a(2) and terms a(8) and beyond from Andrew Howroyd, Aug 01 2017
STATUS
approved