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%I #12 Aug 26 2016 07:58:47
%S 1,5,25,109,465,1989,8521,36509,156417,670133,2871033,12300301,
%T 52697905,225772453,967271849,4144061053,17754307681,76064381589,
%U 325880921433,1396164311533,5981555398289,25626643431045,109791652808201,470377911909981,2015229522041281,8633802573799285
%N Expansion of (1+4*x^2) / (1-5*x+4*x^2-4*x^3).
%H Colin Barker, <a href="/A275903/b275903.txt">Table of n, a(n) for n = 0..1000</a>
%H T. Doslic, T. Short, <a href="http://arxiv.org/abs/1511.00590">Maximal matchings in polyspiro and benzenoid chains</a>, arXiv:1511.00590 [math.CO], 2015. See Th. 3.4.
%H <a href="/index/Rec#order_03">Index entries for linear recurrences with constant coefficients</a>, signature (5,-4,4).
%F a(n) = 5*a(n-1)-4*a(n-2)+4*a(n-3) for n>2. - _Colin Barker_, Aug 26 2016
%o (PARI) Vec((1+4*x^2)/(1-5*x+4*x^2-4*x^3) + O(x^40)) \\ _Colin Barker_, Aug 26 2016
%K nonn,easy
%O 0,2
%A _N. J. A. Sloane_, Aug 25 2016
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