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%I #18 Sep 08 2022 08:44:41
%S 65536,43046721,1475789056,16983563041,110075314176,500246412961,
%T 1785793904896,5352009260481,14048223625216,33232930569601,
%U 72301961339136,146830437604321,281474976710656,513798374428641
%N a(n) = (5*n + 4)^8.
%H Vincenzo Librandi, <a href="/A016904/b016904.txt">Table of n, a(n) for n = 0..1000</a>
%H <a href="/index/Rec#order_09">Index entries for linear recurrences with constant coefficients</a>, signature (9, -36, 84, -126, 126, -84, 36, -9, 1).
%F a(n) = 9*a(n-1) - 36*a(n-2) + 84*a(n-3) - 126*a(n-4) + 126*a(n-5) - 84*a(n-6) + 36*a(n-7) - 9*a(n-8) + a(n-9); a(0)=65536, a(1)=43046721, a(2)=1475789056, a(3)=16983563041, a(4)=110075314176, a(5)=500246412961, a(6)=1785793904896, a(7)=5352009260481, a(8)=14048223625216. - _Harvey P. Dale_, Jul 29 2015
%t (5*Range[0,20]+4)^8 (* or *) LinearRecurrence[{9,-36,84,-126,126,-84,36,-9,1},{65536,43046721,1475789056,16983563041,110075314176,500246412961,1785793904896,5352009260481,14048223625216},20] (* _Harvey P. Dale_, Jul 29 2015 *)
%o (Magma) [(5*n+4)^8: n in [0..30]]; // _Vincenzo Librandi_, May 02 2011
%o (Maxima) A016904(n):=(5*n+4)^8$
%o makelist(A016904(n),n,0,10); /* _Martin Ettl_, Nov 12 2012 */
%K nonn,easy
%O 0,1
%A _N. J. A. Sloane_
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