A017190 a(n) = (9*n + 2)^6.

64, 1771561, 64000000, 594823321, 3010936384, 10779215329, 30840979456, 75418890625, 164206490176, 326940373369, 606355001344, 1061520150601, 1771561000000, 2839760855281, 4398046511104, 6611856250609

Offset

0,1

Links

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

Index entries for linear recurrences with constant coefficients, signature (7,-21,35,-35,21,-7,1).

Formula

G.f.: ( -64 - 1771113*x - 51600417*x^2 - 184023862*x^3 - 129170742*x^4 - 15953673*x^5 - 117649*x^6 ) / (x-1)^7. - R. J. Mathar, Jul 14 2016

a(n) = 7*a(n-1)-21*a(n-2)+35*a(n-3)-35*a(n-4)+21*a(n-5)-7*a(n-6)+a(n-7). - Wesley Ivan Hurt, Apr 24 2021

Mathematica

(9Range[0, 20]+2)^6  (* Harvey P. Dale, Apr 08 2011 *)

Prog

(Magma) [(9*n+2)^6: n in [0..20]]; // Vincenzo Librandi, Jul 23 2011

Crossrefs

Sequence in context: A017094 A350558 A160864 * A329236 A013847 A017298

Adjacent sequences: A017187 A017188 A017189 * A017191 A017192 A017193

Keyword

nonn,easy

Author

N. J. A. Sloane

Status

approved