A152239 a(n) = -5*a(n-1) + 7*a(n-2) for n > 1 with a(0) = 1 and a(1) = -7.

1, -7, 42, -259, 1589, -9758, 59913, -367871, 2258746, -13868827, 85155357, -522858574, 3210380369, -19711911863, 121032221898, -743144492531, 4562948015941, -28016751527422, 172024393748697, -1056239229435439

Offset

0,2

Links

Harvey P. Dale, Table of n, a(n) for n = 0..1000

Index entries for linear recurrences with constant coefficients, signature (-5,7).

Formula

G.f.: (1 - 2*x)/(1 + 5*x - 7*x^2).

a(n) = Sum_{k=0..n} A147703(n,k)*(-8)^k.

Mathematica

LinearRecurrence[{-5, 7}, {1, -7}, 20] (* Harvey P. Dale, Apr 14 2022 *)

Prog

(PARI) Vec((1-2*x)/(1+5*x-7*x^2)+O(x^99)) \\ Charles R Greathouse IV, Jan 17 2012

Crossrefs

Cf. A147703.

Sequence in context: A033133 A082035 A127016 * A152240 A221794 A187246

Adjacent sequences: A152236 A152237 A152238 * A152240 A152241 A152242

Keyword

sign,easy,less,changed

Author

Philippe Deléham, Nov 30 2008

Extensions

Several terms corrected by Johannes W. Meijer, Aug 17 2010

Status

approved