A077919 Expansion of (1-x)^(-1)/(1+2*x-2*x^2+2*x^3).

1, -1, 5, -13, 39, -113, 331, -965, 2819, -8229, 24027, -70149, 204811, -597973, 1745867, -5097301, 14882283, -43450901, 126860971, -370388309, 1081400363, -3157299285, 9218175915, -26913751125, 78578452651, -229420759381, 669825926315, -1955650276693, 5709793924779

Offset

0,3

Links

Table of n, a(n) for n=0..28.

Index entries for linear recurrences with constant coefficients, signature (-1, 4, -4, 2).

Formula

a(0)=1, a(1)=-1, a(2)=5, a(3)=-13, a(n)=a(n-1)+4*a(n-2)-4*a(n-3)+2*a(n-4). - Harvey P. Dale, Aug 22 2013

Mathematica

CoefficientList[Series[(1-x)^(-1)/(1+2x-2x^2+2x^3), {x, 0, 40}], x] (* or *) LinearRecurrence[{-1, 4, -4, 2}, {1, -1, 5, -13}, 40] (* Harvey P. Dale, Aug 22 2013 *)

Crossrefs

Sequence in context: A129924 A360797 A080143 * A295913 A272225 A272585

Adjacent sequences: A077916 A077917 A077918 * A077920 A077921 A077922

Keyword

sign

Author

N. J. A. Sloane, Nov 17 2002

Status

approved