A016905 a(n) = (5*n + 4)^9.

262144, 387420489, 20661046784, 322687697779, 2641807540224, 14507145975869, 60716992766464, 208728361158759, 618121839509504, 1628413597910449, 3904305912313344, 8662995818654939, 18014398509481984

Offset

0,1

Links

Vincenzo Librandi, Table of n, a(n) for n = 0..1000

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, Jun 09 2023

Mathematica

(5 Range[0, 20] + 4)^9 (* Wesley Ivan Hurt, Jun 09 2023 *)
LinearRecurrence[{10, -45, 120, -210, 252, -210, 120, -45, 10, -1}, {262144, 387420489, 20661046784, 322687697779, 2641807540224, 14507145975869, 60716992766464, 208728361158759, 618121839509504, 1628413597910449}, 20] (* Harvey P. Dale, Feb 11 2025 *)

Prog

(Magma) [(5*n+4)^9: n in [0..30]]; // Vincenzo Librandi, May 03 2011

Crossrefs

Sequence in context: A250860 A016809 A018879 * A017700 A010806 A030637

Adjacent sequences: A016902 A016903 A016904 * A016906 A016907 A016908

Keyword

nonn,easy

Author

N. J. A. Sloane

Status

approved