A152594 a(n) = -5*a(n-1)-2*a(n-2), n>1 ; a(0)=1, a(1)=-1 .

1, -1, 3, -13, 59, -269, 1227, -5597, 25531, -116461, 531243, -2423293, 11053979, -50423309, 230008587, -1049196317, 4785964411, -21831429421, 99585218283, -454263232573, 2072145726299, -9452202166349, 43116719379147

Offset

0,3

Links

Table of n, a(n) for n=0..22.

Index entries for linear recurrences with constant coefficients, signature (-5,-2).

Formula

G.f.: (1+4*x)/(1+5*x+2*x^2).

a(n) = Sum_{k, 0<=k<n} A147703(n,k)*(-2)^(n-k).

a(n) = (-1)^n*A052984(n-1), n>=1 ; a(0)=1.

Mathematica

LinearRecurrence[{-5, -2}, {1, -1}, 30] (* Harvey P. Dale, Jun 18 2015 *)

Crossrefs

Sequence in context: A336791 A268596 A199297 * A052984 A360143 A262664

Adjacent sequences: A152591 A152592 A152593 * A152595 A152596 A152597

Keyword

sign

Author

Philippe Deléham, Dec 09 2008

Status

approved