A339610 Expansion of x*(2 - x - x^2 - 2*x^3)/(1 - x - x^2)^2.

2, 3, 7, 11, 21, 36, 64, 111, 193, 333, 573, 982, 1678, 2859, 4859, 8239, 13941, 23544, 39692, 66807, 112277, 188433, 315837, 528746, 884186, 1477011, 2464879, 4109651, 6845973, 11394828, 18951448, 31496127, 52308073, 86814549, 143993469, 238689214, 395434726

Offset

1,1

Links

Table of n, a(n) for n=1..37.

Ricardo Gómez Aíza, Symbolic dynamical scales: modes, orbitals, and transversals, arXiv:2009.02669 [math.DS], 2020. See p. 14.

Index entries for linear recurrences with constant coefficients, signature (2,1,-2,-1).

Formula

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

Mathematica

LinearRecurrence[{2, 1, -2, -1}, {2, 3, 7, 11}, 37] (* or *)
Rest@ CoefficientList[Series[x (2 - x - x^2 - 2 x^3)/(1 - x - x^2)^2, {x, 0, 37}], x]

Crossrefs

Sequence in context: A232432 A037078 A034431 * A095766 A126755 A228592

Adjacent sequences: A339607 A339608 A339609 * A339611 A339612 A339613

Keyword

nonn

Author

Michael De Vlieger, Dec 09 2020

Status

approved