A152185 a(n) = -3*a(n-1) + 5*a(n-2), n > 1; a(0)=1, a(1)=-5.

1, -5, 20, -85, 355, -1490, 6245, -26185, 109780, -460265, 1929695, -8090410, 33919705, -142211165, 596232020, -2499751885, 10480415755, -43940006690, 184222098845, -772366329985, 3238209484180, -13576460102465

Offset

0,2

Links

Paolo Xausa, Table of n, a(n) for n = 0..1000

Index entries for linear recurrences with constant coefficients, signature (-3,5).

Formula

G.f.: (1-2x)/(1+3x-5x^2).

a(n) = Sum_{k=0..n} A147703(n,k)*(-6)^k.

a(n) = (-1)^n*A152187(n). - Philippe Deléham, Nov 29 2008

Mathematica

LinearRecurrence[{-3, 5}, {1, -5}, 25] (* Paolo Xausa, Jan 19 2024 *)

Prog

(PARI) Vec((1-2*x)/(1+3*x-5*x^2)+O(x^99)) \\ Charles R Greathouse IV, Jan 11 2012

Crossrefs

Cf. A152163, A152166, A152167, A152174.

Sequence in context: A006231 A069007 A126987 * A152187 A341920 A045499

Adjacent sequences: A152182 A152183 A152184 * A152186 A152187 A152188

Keyword

sign,easy

Author

Philippe Deléham, Nov 28 2008

Status

approved