A017301 a(n) = (10*n + 2)^9.

512, 5159780352, 1207269217792, 35184372088832, 406671383849472, 2779905883635712, 13537086546263552, 51998697814228992, 167619550409708032, 472161363286556672, 1195092568622310912, 2773078757450186752

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)=512, a(1)=5159780352, a(2)=1207269217792, a(3)=35184372088832, a(4)=406671383849472, a(5)=2779905883635712, a(6)=13537086546263552, a(7)=51998697814228992, a(8)=167619550409708032, a(9)=472161363286556672. - Harvey P. Dale, Jan 01 2013

Mathematica

(10Range[0, 20]+2)^9 (* or *) LinearRecurrence[ {10, -45, 120, -210, 252, -210, 120, -45, 10, -1}, {512, 5159780352, 1207269217792, 35184372088832, 406671383849472, 2779905883635712, 13537086546263552, 51998697814228992, 167619550409708032, 472161363286556672}, 20](* Harvey P. Dale, Jan 01 2013 *)

Prog

(Magma) [(10*n+2)^9: n in [0..15]]; // Vincenzo Librandi, Jul 31 2011

Crossrefs

Sequence in context: A017097 A160866 A017193 * A017421 A017553 A087931

Adjacent sequences: A017298 A017299 A017300 * A017302 A017303 A017304

Keyword

nonn,easy

Author

N. J. A. Sloane

Status

approved