A199414 10*6^n+1.

11, 61, 361, 2161, 12961, 77761, 466561, 2799361, 16796161, 100776961, 604661761, 3627970561, 21767823361, 130606940161, 783641640961, 4701849845761, 28211099074561, 169266594447361, 1015599566684161, 6093597400104961, 36561584400629761

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.: (11-16*x)/((1-x)*(1-6*x)).

Mathematica

LinearRecurrence[{7, -6}, {11, 61}, 40] (* Harvey P. Dale, May 10 2014 *)

Prog

(Magma) [10*6^n+1: n in [0..30]];

Crossrefs

Sequence in context: A115565 A137410 A268863 * A156095 A068846 A092164

Adjacent sequences: A199411 A199412 A199413 * A199415 A199416 A199417

Keyword

nonn,easy

Author

Vincenzo Librandi, Nov 06 2011

Status

approved