A199492 a(n) = 11*7^n + 1.

12, 78, 540, 3774, 26412, 184878, 1294140, 9058974, 63412812, 443889678, 3107227740, 21750594174, 152254159212, 1065779114478, 7460453801340, 52223176609374, 365562236265612, 2558935653859278, 17912549577014940, 125387847039104574, 877714929273732012, 6144004504916124078

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) - 6.

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

G.f.: 6*(2-3*x)/((1-x)*(1-7*x)).

From Elmo R. Oliveira, May 09 2025: (Start)

E.g.f.: exp(x)*(1 + 11*exp(6*x)).

a(n) = 2*A199491(n) = 3*A199490(n) = 6*A199489(n). (End)

Mathematica

11*7^Range[0, 20]+1 (* Harvey P. Dale, Oct 11 2023 *)
(* Alternative: *)
LinearRecurrence[{8, -7}, {12, 78}, 20] (* Harvey P. Dale, Oct 11 2023 *)

Prog

(Magma) [11*7^n+1: n in [0..30]];

Crossrefs

Cf. A199489, A199490, A199491.

Sequence in context: A321949 A227707 A189493 * A200055 A230520 A030116

Adjacent sequences: A199489 A199490 A199491 * A199493 A199494 A199495

Keyword

nonn,easy,changed

Author

Vincenzo Librandi, Nov 07 2011

Status

approved