%I #17 Sep 08 2022 08:44:41
%S 3125,371293,4084101,20511149,69343957,184528125,418195493,844596301,
%T 1564031349,2706784157,4437053125,6956883693,10510100501,15386239549,
%U 21924480357,30517578125,41615795893
%N a(n) = (8*n + 5)^5.
%H Vincenzo Librandi, <a href="/A017129/b017129.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)=3125, a(1)=371293, a(2)=4084101, a(3)=20511149, a(4)=69343957, a(5)=184528125. - _Harvey P. Dale_, Oct 10 2011
%F G.f.: ( 3125 + 352543*x + 1903218*x^2 + 1513438*x^3 + 159593*x^4 + 243*x^5 ) / ( (x-1)^6 ). - _R. J. Mathar_, May 08 2015
%t (8Range[0,20]+5)^5 (* or *) LinearRecurrence[{6,-15,20,-15,6,-1},{3125,371293,4084101,20511149,69343957,184528125},21] (* _Harvey P. Dale_, Oct 10 2011 *)
%o (Magma) [(8*n+5)^5: n in [0..35] ]; // _Vincenzo Librandi_, Jul 21 2011
%K nonn,easy
%O 0,1
%A _N. J. A. Sloane_