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%I #13 Aug 07 2017 03:38:20
%S 1,5,22,37,76,194,491,1125,2731,6640,15962,38386,92639,223403,538102,
%T 1297061,3126726,7535759,18162481,43777272,105514634,254314406,
%U 612962766,1477397778,3560896401,8582652759,20686361179,49859334611,120173522734,289648431514
%N Number of irredundant sets in the n-antiprism graph.
%C The n-antiprism graphs are well defined for n>=3. Sequence extendend to n=1 using recurrence. - _Andrew Howroyd_, Aug 05 2017
%H Andrew Howroyd, <a href="/A290510/b290510.txt">Table of n, a(n) for n = 1..200</a>
%H Eric Weisstein's World of Mathematics, <a href="http://mathworld.wolfram.com/AntiprismGraph.html">Antiprism Graph</a>
%H Eric Weisstein's World of Mathematics, <a href="http://mathworld.wolfram.com/IrredundantSet.html">Irredundant Set</a>
%F Empirical: a(n) = a(n-1)+2*a(n-2)+5*a(n-3) -6*a(n-5)-10*a(n-6) +6*a(n-8)+10*a(n-9)-a(n-10) -2*a(n-11)-5*a(n-12)+a(n-15) for n>15. - _Andrew Howroyd_, Aug 05 2017
%F Empirical g.f.: x*(1 + 4*x + 15*x^2 - 30*x^4 - 60*x^5 + 48*x^7 + 90*x^8 - 10*x^9 - 22*x^10 - 60*x^11 + 15*x^14) / ((1 - x)*(1 + x + x^2)*(1 - x - 2*x^2 - 4*x^3 - x^4 + 4*x^5 + 6*x^6 - x^7 - 2*x^8 - 4*x^9 + x^12)). - _Colin Barker_, Aug 05 2017
%Y Cf. A284699, A290377.
%K nonn
%O 1,2
%A _Eric W. Weisstein_, Aug 04 2017
%E a(1)-a(2) and terms a(11) and beyond from _Andrew Howroyd_, Aug 05 2017
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