|
%I #15 Sep 08 2022 08:44:43
%S 512,8000,32768,85184,175616,314432,512000,778688,1124864,1560896,
%T 2097152,2744000,3511808,4410944,5451776,6644672,8000000,9528128,
%U 11239424,13144256,15252992,17576000,20123648
%N a(n) = (12*n + 8)^3.
%H Vincenzo Librandi, <a href="/A017619/b017619.txt">Table of n, a(n) for n = 0..10000</a>
%H <a href="/index/Rec#order_04">Index entries for linear recurrences with constant coefficients</a>, signature (4,-6,4,-1).
%F From _R. J. Mathar_, Jun 24 2009: (Start)
%F G.f.: 64*(8 + 93*x + 60*x^2 + x^3)/(-1+x)^4.
%F a(n) = 64*A016791(n). (End)
%F a(n) = 4*a(n-1) - 6*a(n-2) + 4*a(n-3) - a(n-4); a(0)=512, a(1)=8000, a(2)=32768, a(3)=85184. - _Harvey P. Dale_, Dec 14 2015
%t (12*Range[0,30]+8)^3 (* or *) LinearRecurrence[{4,-6,4,-1},{512,8000,32768,85184},30] (* _Harvey P. Dale_, Dec 14 2015 *)
%o (Magma) [(12*n+8)^3 : n in [0..30]]; // _Vincenzo Librandi_, Sep 29 2011
%K nonn,easy
%O 0,1
%A _N. J. A. Sloane_
|
