A017397 - OEIS

%I #15 Sep 08 2022 08:44:42

%S 0,2357947691,1207269217792,46411484401953,618121839509504,

%T 4605366583984375,23762680013799936,95151694449171437,

%U 316478381828866048,913517247483640899,2357947691000000000,5559917313492231481

%N a(n) = (11*n)^9.

%H Vincenzo Librandi, <a href="/A017397/b017397.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)=0, a(1)=2357947691, a(2)=1207269217792, a(3)=46411484401953, a(4)=618121839509504, a(5)=4605366583984375, a(6)=23762680013799936, a(7)=95151694449171437, a(8)=316478381828866048, a(9)=913517247483640899. - _Harvey P. Dale_, Aug 27 2013

%t (11*Range[0,20])^9 (* or *) LinearRecurrence[{10,-45,120,-210,252,-210,120,-45,10,-1},{0,2357947691,1207269217792,46411484401953,618121839509504,4605366583984375,23762680013799936,95151694449171437,316478381828866048,913517247483640899},20] (* _Harvey P. Dale_, Aug 27 2013 *)

%o (Magma) [(11*n)^9: n in [0..20]]; // _Vincenzo Librandi_, Sep 02 2011

%K nonn,easy

%O 0,2

%A _N. J. A. Sloane_