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A166153 a(n) = (7^n+14*(-8)^n)/15. 3
1, -7, 63, -455, 3983, -29463, 252511, -1902439, 16043055, -122579639, 1020990719, -7885450503, 65060930767, -506646158935, 4150058281887, -32522243182247, 264925506967919, -2086171125173751, 16921999515377215 (list; graph; refs; listen; history; text; internal format)
OFFSET

0,2

LINKS

G. C. Greubel, Table of n, a(n) for n = 0..1000

FORMULA

a(n) = 56*a(n-2)-a(n-1), a(0)= 1, a(1)= -7, for n>1.

G.f.: (1-6*x)/(1+x-56*x^2).

a(n) = Sum_{k=0..n} A112555(n,k)*(-8)^k.

E.g.f.: (1/15)*(exp(7*x) + 14*exp(-8*x)). - G. C. Greubel, May 01 2016

MATHEMATICA

LinearRecurrence[{-1, 56}, {1, -7}, 50] (* G. C. Greubel, May 01 2016 *)

CROSSREFS

Cf. A112555, A166035, A166036, A166149, A166152.

Sequence in context: A100741 A043027 A165759 * A123009 A219058 A182603

Adjacent sequences:  A166150 A166151 A166152 * A166154 A166155 A166156

KEYWORD

easy,sign

AUTHOR

Philippe Deléham, Oct 08 2009

STATUS

approved

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Last modified May 14 10:15 EDT 2021. Contains 343880 sequences. (Running on oeis4.)