A199022 a(n) = 5*11^n - 1.

4, 54, 604, 6654, 73204, 805254, 8857804, 97435854, 1071794404, 11789738454, 129687123004, 1426558353054, 15692141883604, 172613560719654, 1898749167916204, 20886240847078254, 229748649317860804, 2527235142496468854, 27799586567461157404, 305795452242072731454

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.: (4 + 6*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)*(5*exp(10*x) - 1).

a(n) = 2*A199021(n). (End)

Mathematica

CoefficientList[Series[(4 + 6*x)/(1 - 12*x + 11*x^2), {x, 0, 30}], x] (* Vincenzo Librandi, Jan 04 2013 *)

Prog

(Magma) [5*11^n-1 : n in [0..20]];

Crossrefs

Cf. A199021.

Sequence in context: A292305 A073863 A269480 * A221395 A357558 A241126

Adjacent sequences: A199019 A199020 A199021 * A199023 A199024 A199025

Keyword

nonn,easy

Author

Vincenzo Librandi, Nov 02 2011

Status

approved