A199024 a(n) = 6*11^n - 1.

5, 65, 725, 7985, 87845, 966305, 10629365, 116923025, 1286153285, 14147686145, 155624547605, 1711870023665, 18830570260325, 207136272863585, 2278499001499445, 25063489016493905, 275698379181432965, 3032682170995762625, 33359503880953388885, 366954542690487277745

Offset: 0

Author

Vincenzo Librandi, Nov 02 2011

Keywords

• nonn
• easy

Links

• Vincenzo Librandi, Table of n, a(n) for n = 0..900
• Index entries for linear recurrences with constant coefficients, signature (12,-11).

Crossrefs

Cf. A199023.

Programs

Magma

[6*11^n-1 : n in [0..20]];

Mathematica

CoefficientList[Series[5*(1 + x)/(1 - 12*x + 11*x^2), {x, 0, 30}], x] (* Vincenzo Librandi, Jan 04 2013 *)

Formula

a(n) = 11*a(n-1) + 10.

a(n) = 12*a(n-1) - 11*a(n-2), n > 1.

G.f.: 5*(1 + x)/(1 - 12*x + 11*x^2). - Vincenzo Librandi, Jan 04 2013

From Elmo R. Oliveira, Mar 02 2025: (Start)

E.g.f.: exp(x)*(6*exp(10*x) - 1).

a(n) = 5*A199023(n). (End)