A199758 a(n) = 7*11^n + 1.

8, 78, 848, 9318, 102488, 1127358, 12400928, 136410198, 1500512168, 16505633838, 181561972208, 1997181694278, 21968998637048, 241658985007518, 2658248835082688, 29240737185909558, 321648109045005128, 3538129199495056398, 38919421194445620368, 428113633138901824038

Offset

0,1

Links

Vincenzo Librandi, Table of n, a(n) for n = 0..900

Index entries for linear recurrences with constant coefficients, signature (12,-11).

Formula

a(n) = 11*a(n-1)-10.

a(n) = 12*a(n-1)-11*a(n-2).

G.f.: 2*(4-9*x)/((1-x)*(1-11*x)).

Mathematica

7*11^Range[0, 25] + 1 (* Paolo Xausa, Apr 03 2026 *)

Prog

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

Crossrefs

Sequence in context: A155600 A091106 A394565 * A111533 A218499 A132164

Adjacent sequences: A199755 A199756 A199757 * A199759 A199760 A199761

Keyword

nonn,easy

Author

Vincenzo Librandi, Nov 10 2011

Status

approved