A017229 - OEIS

%I #17 Sep 08 2022 08:44:42

%S 1953125,20661046784,1801152661463,35184372088832,327381934393961,

%T 1953125000000000,8662995818654939,31087100296429568,

%U 95151694449171437,257327417311663616,630249409724609375,1423311812421484544

%N a(n) = (9*n + 5)^9.

%H Vincenzo Librandi, <a href="/A017229/b017229.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 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); a(0)=1953125, a(1)=20661046784, a(2)=1801152661463, a(3)=35184372088832, a(4)=327381934393961, a(5)=1953125000000000, a(6)=8662995818654939, a(7)=31087100296429568, a(8)=95151694449171437, a(9)=257327417311663616. - _Harvey P. Dale_, Mar 26 2013

%t (9*Range[0,20]+5)^9 (* or *) LinearRecurrence[{10,-45,120,-210,252,-210,120,-45,10,-1},{1953125,20661046784,1801152661463,35184372088832,327381934393961,1953125000000000,8662995818654939,31087100296429568,95151694449171437,257327417311663616}, 20] (* _Harvey P. Dale_, Mar 26 2013 *)

%o (Magma) [(9*n+5)^9: n in [0..20]]; // _Vincenzo Librandi_, Jul 24 2011

%K nonn,easy

%O 0,1

%A _N. J. A. Sloane_