login
a(n) = 6^n - n^5.
2

%I #12 Sep 08 2022 08:44:48

%S 1,5,4,-27,272,4651,38880,263129,1646848,10018647,60366176,362636005,

%T 2176533504,13060322723,78363626272,470184225201,2821108858880,

%U 16926658024879,101559954778848,609359737534397

%N a(n) = 6^n - n^5.

%H Vincenzo Librandi, <a href="/A024067/b024067.txt">Table of n, a(n) for n = 0..500</a>

%H <a href="/index/Rec#order_07">Index entries for linear recurrences with constant coefficients</a>, signature (12, -51, 110, -135, 96, -37, 6).

%F a(0)=1, a(1)=5, a(2)=4, a(3)=-27, a(4)=272, a(5)=4651, a(6)=38880, a(n)=12*a(n-1)-51*a(n-2)+110*a(n-3)-135*a(n-4)+96*a(n-5)- 37*a(n-6)+ 6*a(n-7). - _Harvey P. Dale_, Apr 08 2015

%t Table[6^n-n^5,{n,0,20}] (* or *) LinearRecurrence[{12,-51,110,-135,96,-37,6},{1,5,4,-27,272,4651,38880},20] (* _Harvey P. Dale_, Apr 08 2015 *)

%o (Magma) [6^n-n^5: n in [0..25]]; // _Vincenzo Librandi_, Jul 03 2011

%K sign,easy

%O 0,2

%A _N. J. A. Sloane_.