A199019 a(n) = 3*11^n - 1.

2, 32, 362, 3992, 43922, 483152, 5314682, 58461512, 643076642, 7073843072, 77812273802, 855935011832, 9415285130162, 103568136431792, 1139249500749722, 12531744508246952, 137849189590716482, 1516341085497881312, 16679751940476694442, 183477271345243638872, 2018249984797680027602

Offset

0,1

Links

Vincenzo Librandi, Table of n, a(n) for n = 0..900

Index entries for linear recurrences with constant coefficients, signature (12,-11).

Formula

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

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

G.f.: (2 + 8*x)/(1 - 12*x + 11*x^2). - Vincenzo Librandi, Jan 04 2013

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

E.g.f.: exp(x)*(3*exp(10*x) - 1).

a(n) = 2*A199018(n). (End)

Mathematica

CoefficientList[Series[(2 + 8*x)/(1 - 12*x + 11*x^2), {x, 0, 30}], x] (* Vincenzo Librandi, Jan 04 2013 *)

Prog

(Magma) [3*11^n-1 : n in [0..20]];

Crossrefs

Cf. A199018.

Sequence in context: A060868 A350138 A270445 * A127697 A191467 A370828

Adjacent sequences: A199016 A199017 A199018 * A199020 A199021 A199022

Keyword

nonn,easy

Author

Vincenzo Librandi, Nov 02 2011

Status

approved