A199317 a(n) = 2*6^n + 1.

3, 13, 73, 433, 2593, 15553, 93313, 559873, 3359233, 20155393, 120932353, 725594113, 4353564673, 26121388033, 156728328193, 940369969153, 5642219814913, 33853318889473, 203119913336833, 1218719480020993, 7312316880125953, 43873901280755713

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.: (3-8*x)/((1-x)*(1-6*x)).

a(n) = 1 + A167747(n+1) = 1 + 2*A000400(n) = A000400(n) + A062394(n). - Alois P. Heinz, Jul 02 2023

Mathematica

2 6^Range[0, 30]+1 (* or *) LinearRecurrence[{7, -6}, {3, 13}, 30] (* Harvey P. Dale, Jul 02 2023 *)

Prog

(Magma) [2*6^n+1: n in [0..30]];

Crossrefs

Cf. A000400, A062394, A167747.

Sequence in context: A193930 A367756 A063512 * A205776 A132846 A293196

Adjacent sequences: A199314 A199315 A199316 * A199318 A199319 A199320

Keyword

nonn,easy

Author

Vincenzo Librandi, Nov 05 2011

Status

approved