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%I #14 Sep 08 2022 08:44:41
%S 0,32768,1048576,7962624,33554432,102400000,254803968,550731776,
%T 1073741824,1934917632,3276800000,5277319168,8153726976,12166529024,
%U 17623416832,24883200000,34359738368,46525874176
%N a(n) = (8*n)^5.
%H Vincenzo Librandi, <a href="/A017069/b017069.txt">Table of n, a(n) for n = 0..10000</a>
%H <a href="/index/Rec#order_06">Index entries for linear recurrences with constant coefficients</a>, signature (6, -15, 20, -15, 6, -1).
%F a(n) = 6*a(n-1) - 15*a(n-2) + 20*a(n-3) - 15*a(n-4) + 6*a(n-5) - a(n-6); a(0)=0, a(1)=32768, a(2)=1048576, a(3)=7962624, a(4)=33554432, a(5)=102400000. - _Harvey P. Dale_, Sep 10 2014
%t (8 Range[0,30])^5 (* or *) LinearRecurrence[{6,-15,20,-15,6,-1},{0,32768,1048576,7962624,33554432,102400000},30] (* _Harvey P. Dale_, Sep 10 2014 *)
%o (Magma) [(8*n)^5: n in [0..35]]; // _Vincenzo Librandi_, Jul 11 2011
%K nonn,easy
%O 0,2
%A _N. J. A. Sloane_
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