A199484 (8*7^n+1)/3.

3, 19, 131, 915, 6403, 44819, 313731, 2196115, 15372803, 107609619, 753267331, 5272871315, 36910099203, 258370694419, 1808594860931, 12660164026515, 88621148185603, 620348037299219, 4342436261094531, 30397053827661715

Offset

0,1

Links

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

Index entries for linear recurrences with constant coefficients, signature (8,-7).

Formula

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

a(n) = 8*a(n-1)-7*a(n-2).

G.f.: (3-5*x)/((1-x)*(1-7*x)).

Mathematica

(8*7^Range[0, 20]+1)/3 (* or *) LinearRecurrence[{8, -7}, {3, 19}, 30] (* Harvey P. Dale, Aug 21 2021 *)

Prog

(Magma) [(8*7^n+1)/3: n in [0..30]];

Crossrefs

Sequence in context: A074568 A219053 A074713 * A063395 A226459 A256092

Adjacent sequences: A199481 A199482 A199483 * A199485 A199486 A199487

Keyword

nonn,easy

Author

Vincenzo Librandi, Nov 07 2011

Status

approved