A017229 a(n) = (9*n + 5)^9.

1953125, 20661046784, 1801152661463, 35184372088832, 327381934393961, 1953125000000000, 8662995818654939, 31087100296429568, 95151694449171437, 257327417311663616, 630249409724609375, 1423311812421484544

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); a(0)=1953125, a(1)=20661046784, a(2)=1801152661463, a(3)=35184372088832, a(4)=327381934393961, a(5)=1953125000000000, a(6)=8662995818654939, a(7)=31087100296429568, a(8)=95151694449171437, a(9)=257327417311663616. - Harvey P. Dale, Mar 26 2013

Mathematica

(9*Range[0, 20]+5)^9 (* or *) LinearRecurrence[{10, -45, 120, -210, 252, -210, 120, -45, 10, -1}, {1953125, 20661046784, 1801152661463, 35184372088832, 327381934393961, 1953125000000000, 8662995818654939, 31087100296429568, 95151694449171437, 257327417311663616}, 20] (* Harvey P. Dale, Mar 26 2013 *)

Prog

(Magma) [(9*n+5)^9: n in [0..20]]; // Vincenzo Librandi, Jul 24 2011

Crossrefs

Sequence in context: A016977 A017049 A017133 * A017337 A017457 A017589

Adjacent sequences: A017226 A017227 A017228 * A017230 A017231 A017232

Keyword

nonn,easy

Author

N. J. A. Sloane

Status

approved