A196290 a(n) = n^9 + n.
0, 2, 514, 19686, 262148, 1953130, 10077702, 40353614, 134217736, 387420498, 1000000010, 2357947702, 5159780364, 10604499386, 20661046798, 38443359390, 68719476752, 118587876514, 198359290386, 322687697798, 512000000020, 794280046602, 1207269217814, 1801152661486, 2641807540248
Offset: 0
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).
Programs
-
Magma
[n^9+n: n in [0..30]]
-
Mathematica
Table[n^9+n,{n,0,40}] (* Harvey P. Dale, Oct 14 2011 *) -
PARI
a(n)=n^9+n \\ Charles R Greathouse IV, Nov 21 2011
Formula
G.f.: 2*x*(1+247*x+7318*x^2+44089*x^3+78130*x^4+44089*x^5+7318*x^6+247*x^7+x^8) / (x-1)^10 . a(n) = 2*A168116(n). - R. J. Mathar, Oct 13 2011
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, May 04 2023