A078067 Expansion of (1-x)/(1+2*x+2*x^2-2*x^3).

1, -3, 4, 0, -14, 36, -44, -12, 184, -432, 472, 288, -2384, 5136, -4928, -5184, 30496, -60480, 49600, 82752, -385664, 705024, -473216, -1234944, 4826368, -8129280, 4135936, 17639424, -59809280, 92611584, -30325760, -244190208, 734255104, -1040781312, 124672000, 3300728832

Offset

0,2

Links

Table of n, a(n) for n=0..35.

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

Formula

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

a(n) = -2*a(n-1) - 2*a(n-2) + 2*a(n-3). - Wesley Ivan Hurt, Nov 17 2022

Mathematica

CoefficientList[Series[(1-x)/(1+2x+2x^2-2x^3), {x, 0, 40}], x] (* or *) LinearRecurrence[{-2, -2, 2}, {1, -3, 4}, 40] (* Harvey P. Dale, May 03 2018 *)

Crossrefs

Sequence in context: A056862 A113035 A099447 * A192442 A009126 A322278

Adjacent sequences: A078064 A078065 A078066 * A078068 A078069 A078070

Keyword

sign,easy

Author

N. J. A. Sloane, Nov 17 2002

Status

approved