A016989 a(n) = (7*n)^9.

0, 40353607, 20661046784, 794280046581, 10578455953408, 78815638671875, 406671383849472, 1628413597910449, 5416169448144896, 15633814156853823, 40353607000000000, 95151694449171437, 208215748530929664

Offset: 0

Author

N. J. A. Sloane

Keywords

• nonn
• easy

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).

Crossrefs

Cf. A001017.

Programs

Magma

[(7*n)^9: n in [0..20]]; // Vincenzo Librandi, Jun 18 2011

Mathematica

(7 Range[0, 20])^9 (* Wesley Ivan Hurt, May 26 2024 *)

Formula

From Wesley Ivan Hurt, May 26 2024: (Start)

a(n) = 40353607 * A001017(n).

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).

G.f.: 40353607*x*(1 + 502*x + 14608*x^2 + 88234*x^3 + 156190*x^4 + 88234*x^5 + 14608*x^6 + 502*x^7 + x^8)/(x - 1)^10. (End)