A024067 a(n) = 6^n - n^5.

1, 5, 4, -27, 272, 4651, 38880, 263129, 1646848, 10018647, 60366176, 362636005, 2176533504, 13060322723, 78363626272, 470184225201, 2821108858880, 16926658024879, 101559954778848, 609359737534397

Offset: 0

Author

N. J. A. Sloane

Keywords

• sign
• easy

Links

• Vincenzo Librandi, Table of n, a(n) for n = 0..500
• Index entries for linear recurrences with constant coefficients, signature (12, -51, 110, -135, 96, -37, 6).

Programs

Magma

[6^n-n^5: n in [0..25]]; // Vincenzo Librandi, Jul 03 2011

Mathematica

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 *)

Formula

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