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

Author

Philippe Deléham, Nov 30 2008

Keywords

• sign
• easy
• less

Links

• Harvey P. Dale, Table of n, a(n) for n = 0..1000
• Index entries for linear recurrences with constant coefficients, signature (-5,7).

Crossrefs

Cf. A147703.

Programs

Mathematica

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

PARI

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

Formula

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

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

Extensions

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