A017202 a(n) = (9*n + 3)^6.

729, 2985984, 85766121, 729000000, 3518743761, 12230590464, 34296447249, 82653950016, 177978515625, 351298031616, 646990183449, 1126162419264, 1870414552161, 2985984000000, 4608273662721

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.: -729*(1 + 4089*x + 88998*x^2 + 262438*x^3 + 154113*x^4 + 15177*x^5 + 64*x^6)/(x-1)^7. - R. J. Mathar, Jul 14 2016

Mathematica

(9*Range[0, 30]+3)^6 (* Harvey P. Dale, Nov 24 2018 *)
(* Alternative: *)
LinearRecurrence[{7, -21, 35, -35, 21, -7, 1}, {729, 2985984, 85766121, 729000000, 3518743761, 12230590464, 34296447249}, 30] (* Harvey P. Dale, Nov 24 2018 *)

Prog

(Magma) [(9*n+3)^6: n in [0..20]]; // Vincenzo Librandi, Jul 23 2011

Crossrefs

Sequence in context: A272066 A017022 A017106 * A013791 A017310 A017430

Adjacent sequences: A017199 A017200 A017201 * A017203 A017204 A017205

Keyword

nonn,easy

Author

N. J. A. Sloane

Status

approved