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
Links
- Paolo Xausa, Table of n, a(n) for n = 0..1000
- Index entries for linear recurrences with constant coefficients, signature (-3,5).
Programs
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Mathematica
LinearRecurrence[{-3, 5}, {1, -5}, 25] (* Paolo Xausa, Jan 19 2024 *) -
PARI
Vec((1-2*x)/(1+3*x-5*x^2)+O(x^99)) \\ Charles R Greathouse IV, Jan 11 2012
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