A139746 a(n) = 11^n - 8^n.

0, 3, 57, 819, 10545, 128283, 1509417, 17390019, 197581665, 2223729963, 24863682777, 276721736019, 3069708899985, 33972956330043, 375351787072137, 4142063797326819, 45668254886861505, 503195228685608523, 5541902914982749497, 61014975260338690419, 671597073427953162225

Offset: 0

Author

N. J. A. Sloane, May 20 2008

Keywords

• nonn
• easy

Links

• Vincenzo Librandi, Table of n, a(n) for n = 0..300
• Index entries for linear recurrences with constant coefficients, signature (19,-88).

Crossrefs

Cf. A016187.

Programs

Magma

[11^n-8^n: n in [0..30]]; // Vincenzo Librandi, Jun 02 2011

Mathematica

Table[11^n-8^n,{n,0,30}] (* or *) LinearRecurrence[{19,-88},{0,3},30] (* Harvey P. Dale, Apr 13 2019 *)

Formula

a(n) = 19*a(n-1) - 88*a(n-2). - Vincenzo Librandi, Jun 02 2011

From Elmo R. Oliveira, Apr 01 2025: (Start)

G.f.: 3*x/((1-8*x)*(1-11*x)).

E.g.f.: 2*exp(19*x/2)*sinh(3*x/2).

a(n) = 3*A016187(n-1) for n >= 1. (End)