|
%I #14 Sep 08 2022 08:44:48
%S 1,5,32,207,1280,7751,46620,279887,1679552,10077615,60466076,
%T 362796935,2176782192,13060693847,78364163900,470184984351,
%U 2821109907200,16926659444447,101559956668092,609359740010135
%N a(n) = 6^n - n^2.
%H Vincenzo Librandi, <a href="/A024064/b024064.txt">Table of n, a(n) for n = 0..500</a>
%H <a href="/index/Rec#order_04">Index entries for linear recurrences with constant coefficients</a>, signature (9, -21, 19, -6).
%F a(0)=1, a(1)=5, a(2)=32, a(3)=207, a(n)=9*a(n-1)-21*a(n-2)+19*a(n-3)- 6*a(n-4). - _Harvey P. Dale_, Mar 26 2014
%F G.f.: (5*x^3+8*x^2-4*x+1)/((x-1)^3*(6*x-1)). - _Harvey P. Dale_, Mar 26 2014
%t Table[6^n-n^2,{n,0,20}] (* or *) LinearRecurrence[{9,-21,19,-6},{1,5,32,207},20] (* _Harvey P. Dale_, Mar 26 2014 *)
%o (Magma) [6^n-n^2: n in [0..25]]; // _Vincenzo Librandi_, Jul 03 2011
%K nonn,easy
%O 0,2
%A _N. J. A. Sloane_
|
