A017214 a(n) = (9*n + 4)^6.

4096, 4826809, 113379904, 887503681, 4096000000, 13841287201, 38068692544, 90458382169, 192699928576, 377149515625, 689869781056, 1194052296529, 1973822685184, 3138428376721, 4826809000000

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.: ( -4096 - 4798137*x - 79678257*x^2 - 195063982*x^3 - 95657262*x^4 - 7420161*x^5 - 15625*x^6 ) / (x-1)^7. - R. J. Mathar, Jul 14 2016

Mathematica

(9Range[0, 20]+4)^6 (* or *) LinearRecurrence[{7, -21, 35, -35, 21, -7, 1}, {4096, 4826809, 113379904, 887503681, 4096000000, 13841287201, 38068692544}, 20] (* Harvey P. Dale, Apr 08 2023 *)

Prog

(Magma) [(9*n+4)^6: n in [0..25]]; // Vincenzo Librandi, Jul 24 2011

Crossrefs

Sequence in context: A017118 A269294 A221093 * A017322 A223268 A222103

Adjacent sequences: A017211 A017212 A017213 * A017215 A017216 A017217

Keyword

nonn,easy

Author

N. J. A. Sloane

Status

approved