A135466 a(n) = (2*n-8)^2 * 2^(n-3).

8, 9, 8, 4, 0, 16, 128, 576, 2048, 6400, 18432, 50176, 131072, 331776, 819200, 1982464, 4718592, 11075584, 25690112, 58982400, 134217728, 303038464, 679477248, 1514143744, 3355443200, 7398752256, 16240345088, 35500589056, 77309411328, 167772160000

Offset

0,1

Links

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

G. Myerson and A. J. van der Poorten, Some problems concerning recurrence sequences, Amer. Math. Monthly 102 (1995), no. 8, 698-705.

Index entries for linear recurrences with constant coefficients, signature (6,-12,8).

Formula

O.g.f.: -(8-39*x+50*x^2)/(-1+2*x)^3 . - R. J. Mathar, Feb 08 2008

From G. C. Greubel, Oct 14 2016: (Start)

a(n) = 6*a(n-1) - 12*a(n-2) + 8*a(n-3).

E.g.f.: (2*x^2 - 7*x + 8)*exp(2*x). (End)

Mathematica

Table[(2*n - 8)^2 * 2^(n - 3), {n, 0, 25}] (* or *) LinearRecurrence[{6, -12, 8}, {8, 9, 8}, 25] (* G. C. Greubel, Oct 14 2016 *)

Prog

(PARI) a(n)=(n-4)^2*2^(n-1) \\ Charles R Greathouse IV, Oct 14 2016

Crossrefs

Sequence in context: A153202 A019738 A236098 * A265296 A230154 A338856

Adjacent sequences: A135463 A135464 A135465 * A135467 A135468 A135469

Keyword

nonn,easy

Author

N. J. A. Sloane, Feb 07 2008

Status

approved