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A275906 Expansion of (1+x+x^2) / (1-4*x-4*x^2-x^3). 1

%I #11 Aug 26 2016 07:58:43

%S 1,5,25,121,589,2865,13937,67797,329801,1604329,7804317,37964385,

%T 184679137,898378405,4370194553,21258970969,103415040493,503066240401,

%U 2447184094545,11904416380277,57909468139689,281702722174409,1370353177636669,6666133067384001,32427647702257089,157745476256201029

%N Expansion of (1+x+x^2) / (1-4*x-4*x^2-x^3).

%H Colin Barker, <a href="/A275906/b275906.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 (4,4,1).

%F a(n) = 4*a(n-1)+4*a(n-2)+a(n-3). - _Colin Barker_, Aug 26 2016

%o (PARI) Vec((1+x+x^2)/(1-4*x-4*x^2-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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Last modified September 18 20:35 EDT 2024. Contains 376002 sequences. (Running on oeis4.)