A196289 a(n) = n^9 - n.

0, 0, 510, 19680, 262140, 1953120, 10077690, 40353600, 134217720, 387420480, 999999990, 2357947680, 5159780340, 10604499360, 20661046770, 38443359360, 68719476720, 118587876480, 198359290350, 322687697760, 511999999980, 794280046560, 1207269217770, 1801152661440, 2641807540200

Offset: 0

Author

Vincenzo Librandi, Oct 01 2011

Keywords

• nonn
• easy
• less

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).

Crossrefs

Cf. A195859, A196288.

Programs

Magma

[n^9-n: n in [0..30]];

Mathematica

Table[n^9 - n, {n, 0, 40}] (* and *) LinearRecurrence[{10, -45, 120, -210, 252, -210, 120, -45, 10, -1}, {0, 0, 510, 19680, 262140, 1953120, 10077690, 40353600, 134217720, 387420480}, 40] (* Vladimir Joseph Stephan Orlovsky, Feb 21 2012 *)

PARI

a(n)=n^9-n \\ Charles R Greathouse IV, Nov 21 2011

Formula

G.f.: 30*x^2*(17+486*x+2943*x^2+5204*x^3+2943*x^4+486*x^5+17*x^6) / (x-1)^10 . - R. J. Mathar, Oct 13 2011