A017168 a(n) = (9*n)^8.

0, 43046721, 11019960576, 282429536481, 2821109907456, 16815125390625, 72301961339136, 248155780267521, 722204136308736, 1853020188851841, 4304672100000000, 9227446944279201, 18509302102818816, 35114532758015841

Offset

0,2

Links

Vincenzo Librandi, Table of n, a(n) for n = 0..10000

Index entries for linear recurrences with constant coefficients, signature (9, -36, 84, -126, 126, -84, 36, -9, 1).

Formula

a(n) = 9*a(n-1) - 36*a(n-2) + 84*a(n-3) - 126*a(n-4) + 126*a(n-5) - 84*a(n-6) + 36*a(n-7) - 9*a(n-8) + a(n-9); a(0)=0, a(1)=43046721, a(2)=11019960576, a(3)=282429536481, a(4)=2821109907456, a(5)=16815125390625, a(6)=72301961339136, a(7)=248155780267521, a(8)=722204136308736. - Harvey P. Dale, May 01 2013

Mathematica

(9*Range[0, 20])^8 (* or *) LinearRecurrence[{9, -36, 84, -126, 126, -84, 36, -9, 1}, {0, 43046721, 11019960576, 282429536481, 2821109907456, 16815125390625, 72301961339136, 248155780267521, 722204136308736}, 20] (* Harvey P. Dale, May 01 2013 *)

Prog

(Magma) [(9*n)^8: n in [0..20]]; // Vincenzo Librandi, Jul 22 2011

Crossrefs

Sequence in context: A186589 A186581 A017084 * A017384 A017504 A017636

Adjacent sequences: A017165 A017166 A017167 * A017169 A017170 A017171

Keyword

nonn,easy

Author

N. J. A. Sloane

Status

approved