A077924 Expansion of (1-x)^(-1)/(1+2*x-2*x^3).

1, -1, 3, -3, 5, -3, 1, 9, -23, 49, -79, 113, -127, 97, 33, -319, 833, -1599, 2561, -3455, 3713, -2303, -2303, 12033, -28671, 52737, -81407, 105473, -105471, 48129, 114689, -440319, 976897, -1724415, 2568193, -3182591, 2916353, -696319, -4972543, 15777793, -32948223, 55951361

Offset

0,3

Links

Table of n, a(n) for n=0..41.

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

Formula

a(0)=1, a(1)=-1, a(2)=3, a(3)=-3, a(n)=a(n-1)+2*a(n-2)+ 2*a(n-3)- 2*a(n-4) -- From Harvey P. Dale, Jul 25 2012

Mathematica

CoefficientList[Series[(1-x)^(-1)/(1+2x-2x^3), {x, 0, 50}], x] (* or *) LinearRecurrence[{-1, 2, 2, -2}, {1, -1, 3, -3}, 50] (* Harvey P. Dale, Jul 25 2012 *)

Crossrefs

Sequence in context: A115155 A136549 A302141 * A003569 A333596 A066670

Adjacent sequences: A077921 A077922 A077923 * A077925 A077926 A077927

Keyword

sign

Author

N. J. A. Sloane, Nov 17 2002

Status

approved