A199756 a(n) = 6*11^n + 1.

7, 67, 727, 7987, 87847, 966307, 10629367, 116923027, 1286153287, 14147686147, 155624547607, 1711870023667, 18830570260327, 207136272863587, 2278499001499447, 25063489016493907, 275698379181432967, 3032682170995762627

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).

G.f.: (7-17*x)/((1-x)*(1-11*x)).

Mathematica

6*11^Range[0, 20]+1 (* or *) LinearRecurrence[{12, -11}, {7, 67}, 20] (* Harvey P. Dale, Jul 16 2014 *)

Prog

(Magma) [6*11^n+1: n in [0..30]];

Crossrefs

Sequence in context: A036948 A020469 A340973 * A038386 A243675 A082578

Adjacent sequences: A199753 A199754 A199755 * A199757 A199758 A199759

Keyword

nonn,easy

Author

Vincenzo Librandi, Nov 10 2011

Status

approved