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Expansion of x*(2 - x - x^2 - 2*x^3)/(1 - x - x^2)^2.
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%I #7 Dec 09 2020 20:06:59

%S 2,3,7,11,21,36,64,111,193,333,573,982,1678,2859,4859,8239,13941,

%T 23544,39692,66807,112277,188433,315837,528746,884186,1477011,2464879,

%U 4109651,6845973,11394828,18951448,31496127,52308073,86814549,143993469,238689214,395434726

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

%H Ricardo Gómez Aíza, <a href="https://arxiv.org/abs/2009.02669">Symbolic dynamical scales: modes, orbitals, and transversals</a>, arXiv:2009.02669 [math.DS], 2020. See p. 14.

%H <a href="/index/Rec#order_04">Index entries for linear recurrences with constant coefficients</a>, signature (2,1,-2,-1).

%F G.f.: (x*(2 - x - x^2 - 2*x^3))/(1 - x - x^2)^2.

%t LinearRecurrence[{2, 1, -2, -1}, {2, 3, 7, 11}, 37] (* or *)

%t Rest@ CoefficientList[Series[x (2 - x - x^2 - 2 x^3)/(1 - x - x^2)^2, {x, 0, 37}], x]

%K nonn

%O 1,1

%A _Michael De Vlieger_, Dec 09 2020