A290337 - OEIS

%I #16 Aug 04 2017 03:14:53

%S 2,4,11,28,37,67,149,284,596,1179,2444,5023,10103,20577,41746,84860,

%T 172501,350392,712597,1448463,2943959,5983960,12162310,24721031,

%U 50246512,102128407,207584129,421927877,857596064,1743119352,3543000201,7201377180,14637255611

%N Number of minimal dominating sets in the n-Moebius ladder.

%H Andrew Howroyd, <a href="/A290337/b290337.txt">Table of n, a(n) for n = 1..200</a>

%H Eric Weisstein's World of Mathematics, <a href="http://mathworld.wolfram.com/MinimalDominatingSet.html">Minimal Dominating Set</a>

%H Eric Weisstein's World of Mathematics, <a href="http://mathworld.wolfram.com/MoebiusLadder.html">Moebius Ladder</a>

%F Empirical: a(n) = a(n-1)+a(n-2)+2*a(n-3) -a(n-4)+2*a(n-5)-2*a(n-6) +6*a(n-7)+4*a(n-8)+4*a(n-9) -6*a(n-10)-3*a(n-12) +5*a(n-13)-a(n-14)-2*a(n-15) -5*a(n-16)-2*a(n-17)-2*a(n-18) for n > 18. - _Andrew Howroyd_, Aug 01 2017

%F Empirical g.f.: x*(2 + 2*x + 5*x^2 + 9*x^3 - 8*x^4 - 20*x^5 - 4*x^6 - 4*x^7 - 40*x^9 - 26*x^10 - 26*x^11 + 14*x^12 - 22*x^13 - 33*x^14 - 45*x^15 - 14*x^16 - 14*x^17) / ((1 - x)*(1 + 2*x^4 + x^6)*(1 - x^2 - 3*x^3 - 4*x^4 - 4*x^5 - x^6 - 2*x^7 - 3*x^8 - 5*x^9 - 4*x^10 - 2*x^11)). - _Colin Barker_, Aug 02 2017

%Y Cf. A284663, A290336, A290379.

%K nonn

%O 1,1

%A _Eric W. Weisstein_, Jul 27 2017

%E a(1)-a(2) and terms a(9) and beyond from _Andrew Howroyd_, Aug 01 2017