A199759 8*11^n+1.

9, 89, 969, 10649, 117129, 1288409, 14172489, 155897369, 1714871049, 18863581529, 207499396809, 2282493364889, 25107427013769, 276181697151449, 3037998668665929, 33417985355325209, 367597838908577289, 4043576227994350169

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.: (9-19*x)/((1-x)*(1-11*x)).

Mathematica

8*11^Range[0, 20]+1 (* or *) LinearRecurrence[{12, -11}, {9, 89}, 20] (* Harvey P. Dale, Jun 10 2022 *)

Prog

(Magma) [8*11^n+1: n in [0..30]];

Crossrefs

Sequence in context: A152267 A082147 A095722 * A069573 A101679 A075507

Adjacent sequences: A199756 A199757 A199758 * A199760 A199761 A199762

Keyword

nonn,easy

Author

Vincenzo Librandi, Nov 10 2011

Status

approved