%I #15 Sep 08 2022 08:44:41
%S 0,78125,10000000,170859375,1280000000,6103515625,21870000000,
%T 64339296875,163840000000,373669453125,781250000000,1522435234375,
%U 2799360000000,4902227890625,8235430000000,13348388671875
%N a(n) = (5*n)^7.
%H Vincenzo Librandi, <a href="/A016855/b016855.txt">Table of n, a(n) for n = 0..1000</a>
%H <a href="/index/Rec#order_08">Index entries for linear recurrences with constant coefficients</a>, signature (8, -28, 56, -70, 56, -28, 8, -1).
%F a(0)=0, a(1)=78125, a(2)=10000000, a(3)=170859375, a(4)=1280000000, a(5)=6103515625, a(6)=21870000000, a(7)=64339296875, a(n)=8*a(n-1)- 28*a(n-2)+ 56*a(n-3)-70*a(n-4)+56*a(n-5)-28*a(n-6)+8*a(n-7)-a(n-8). - _Harvey P. Dale_, May 07 2013
%t (5*Range[0,20])^7 (* or *) LinearRecurrence[{8,-28,56,-70,56,-28,8,-1},{0,78125,10000000,170859375,1280000000,6103515625,21870000000,64339296875},20] (* _Harvey P. Dale_, May 07 2013 *)
%t Table[(5 n)^7, {n, 0, 25}] (* _Vincenzo Librandi_, Apr 10 2017 *)
%o (Magma) [(5*n)^7: n in [0..20]]; // _Vincenzo Librandi_, Apr 10 2017
%K nonn,easy
%O 0,2
%A _N. J. A. Sloane_.