A199415 11*6^n+1.

12, 67, 397, 2377, 14257, 85537, 513217, 3079297, 18475777, 110854657, 665127937, 3990767617, 23944605697, 143667634177, 862005805057, 5172034830337, 31032208982017, 186193253892097, 1117159523352577, 6702957140115457, 40217742840692737

Offset

0,1

Links

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

Index entries for linear recurrences with constant coefficients, signature (7,-6).

Formula

a(n) = 6*a(n-1)-5.

a(n) = 7*a(n-1)-6*a(n-2).

G.f.: (12-17*x)/((1-x)*(1-6*x)).

Mathematica

11*6^Range[0, 30]+1 (* or *) LinearRecurrence[{7, -6}, {12, 67}, 30] (* Harvey P. Dale, Mar 26 2012 *)

Prog

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

Crossrefs

Sequence in context: A091074 A212687 A117088 * A200204 A289384 A200205

Adjacent sequences: A199412 A199413 A199414 * A199416 A199417 A199418

Keyword

nonn,easy

Author

Vincenzo Librandi, Nov 06 2011

Status

approved