A199750 2*11^n+1.

3, 23, 243, 2663, 29283, 322103, 3543123, 38974343, 428717763, 4715895383, 51874849203, 570623341223, 6276856753443, 69045424287863, 759499667166483, 8354496338831303, 91899459727144323, 1010894056998587543, 11119834626984462963

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.: (3-13*x)/((1-x)*(1-11*x)).

Mathematica

2*11^Range[0, 20]+1 (* or *) LinearRecurrence[{12, -11}, {3, 23}, 20] (* Harvey P. Dale, Aug 14 2012 *)

Prog

(Magma) [2*11^n+1: n in [0..30]];

Crossrefs

Sequence in context: A122009 A360987 A151433 * A318004 A098681 A118790

Adjacent sequences: A199747 A199748 A199749 * A199751 A199752 A199753

Keyword

nonn,easy

Author

Vincenzo Librandi, Nov 10 2011

Status

approved