A199558 11*8^n+1.

12, 89, 705, 5633, 45057, 360449, 2883585, 23068673, 184549377, 1476395009, 11811160065, 94489280513, 755914244097, 6047313952769, 48378511622145, 387028092977153, 3096224743817217, 24769797950537729, 198158383604301825

Offset

0,1

Links

Vincenzo Librandi, Table of n, a(n) for n = 0..1000

Index entries for linear recurrences with constant coefficients, signature (9,-8).

Formula

a(n) = 8*a(n-1)-7.

a(n) = 9*a(n-1)-8*a(n-2).

G.f.: (12-19*x)/((1-x)*(1-8*x)).

Mathematica

11*8^Range[0, 20]+1 (* or *) LinearRecurrence[{9, -8}, {12, 89}, 20] (* Harvey P. Dale, Sep 15 2016 *)

Prog

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

Crossrefs

Sequence in context: A181944 A359311 A193285 * A034197 A217089 A245577

Adjacent sequences: A199555 A199556 A199557 * A199559 A199560 A199561

Keyword

nonn,easy

Author

Vincenzo Librandi, Nov 08 2011

Status

approved