A017061 a(n) = (7*n + 6)^9.

10077696, 10604499373, 512000000000, 7625597484987, 60716992766464, 327381934393961, 1352605460594688, 4605366583984375, 13537086546263552, 35452087835576229, 84590643846578176, 186940255267540403

Offset

0,1

Links

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

Index entries for linear recurrences with constant coefficients, signature (10, -45, 120, -210, 252, -210, 120, -45, 10, -1).

Formula

a(n) = 10*a(n-1)-45*a(n-2)+120*a(n-3)-210*a(n-4)+252*a(n-5)-210*a(n-6)+120*a(n-7)-45*a(n-8)+10*a(n-9)-a(n-10). - Wesley Ivan Hurt, Jan 02 2022

Mathematica

(7*Range[0, 12] + 6)^9 (* Wesley Ivan Hurt, Jan 02 2022 *)
LinearRecurrence[{10, -45, 120, -210, 252, -210, 120, -45, 10, -1}, {10077696, 10604499373, 512000000000, 7625597484987, 60716992766464, 327381934393961, 1352605460594688, 4605366583984375, 13537086546263552, 35452087835576229}, 20] (* Harvey P. Dale, Oct 09 2023 *)

Prog

(Magma) [(7*n+6)^9: n in [0..20]]; // Vincenzo Librandi, Jul 10 2011

Crossrefs

Sequence in context: A250597 A016869 A016917 * A017145 A017241 A017349

Adjacent sequences: A017058 A017059 A017060 * A017062 A017063 A017064

Keyword

nonn,easy

Author

N. J. A. Sloane

Status

approved