%I #18 May 04 2023 12:25:50

%S 0,2,514,19686,262148,1953130,10077702,40353614,134217736,387420498,

%T 1000000010,2357947702,5159780364,10604499386,20661046798,38443359390,

%U 68719476752,118587876514,198359290386,322687697798,512000000020,794280046602,1207269217814,1801152661486,2641807540248

%N a(n) = n^9 + n.

%H Vincenzo Librandi, <a href="/A196290/b196290.txt">Table of n, a(n) for n = 0..10000</a>

%H <a href="/index/Rec#order_10">Index entries for linear recurrences with constant coefficients</a>, signature (10,-45,120,-210,252,-210,120,-45,10,-1).

%F 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

%F 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

%t Table[n^9+n,{n,0,40}] (* _Harvey P. Dale_, Oct 14 2011 *)

%o (Magma) [n^9+n: n in [0..30]]

%o (PARI) a(n)=n^9+n \\ _Charles R Greathouse IV_, Nov 21 2011

%Y Cf. A195859, A196288, A196289.

%K nonn,easy,less

%O 0,2

%A _Vincenzo Librandi_, Oct 01 2011