A024091 a(n) = 8^n - n^3.

1, 7, 56, 485, 4032, 32643, 261928, 2096809, 16776704, 134216999, 1073740824, 8589933261, 68719475008, 549755811691, 4398046508360, 35184372085457, 281474976706560, 2251799813680335, 18014398509476152

Offset: 0

Author

N. J. A. Sloane

Keywords

• nonn
• easy

Links

• Vincenzo Librandi, Table of n, a(n) for n = 0..400
• Index entries for linear recurrences with constant coefficients, signature (12, -38, 52, -33, 8).

Programs

Magma

[8^n-n^3: n in [0..20]]; // Vincenzo Librandi, Jul 05 2011

Mathematica

Table[8^n-n^3,{n,0,20}] (* or *) LinearRecurrence[{12,-38,52,-33,8},{1,7,56,485,4032},20] (* Harvey P. Dale, Aug 22 2012 *)

Formula

a(n) = 12*a(n-1) - 38*a(n-2) + 52*a(n-3) - 33*a(n-4) + 8*a(n-5); a(0)=1, a(1)=7, a(2)=56, a(3)=485, a(4)=4032. - Harvey P. Dale, Aug 22 2012