A024113 a(n) = 9^n-n^12.

1, 8, -4015, -530712, -16770655, -244081576, -2176250895, -13836504232, -68676430015, -282042115992, -996513215599, -3107047317112, -8633670911775, -20756219294152, -33817119920335, 76144794204024, 1571545212141185, 16094559462436808, 148937803915572945

Offset: 0

Author

N. J. A. Sloane, Jun 14 1998

Keywords

• sign
• easy

Links

• Vincenzo Librandi, Table of n, a(n) for n = 0..300
• Index entries for linear recurrences with constant coefficients, signature (22,-195,988,-3289,7722,-13299,17160,-16731,12298,-6721,2652,-715,118,-9).

Crossrefs

Cf. A001019, A008456.

Programs

Magma

[9^n-n^12: n in [0..20]]; // Vincenzo Librandi, Jun 30 2011

Maple

A024113:=n->9^n - n^12; seq(A024113(n), n=0..20); # Wesley Ivan Hurt, May 25 2014

Mathematica

Table[9^n - n^12, {n, 0, 20}] (* Wesley Ivan Hurt, May 25 2014 *)

Formula

a(n) = A001019(n) - A008456(n). - Wesley Ivan Hurt, May 25 2014

G.f.: (8*x^13 +36759*x^12 +4300278*x^11 [phone]*x^10 [phone]*x^9 [phone]*x^8 [phone]*x^7 [phone]*x^6 [phone]*x^5 -5882531*x^4 -441810*x^3 -3996*x^2 -14*x +1) / ((x -1)^13*(9*x -1)). - Colin Barker, May 26 2014