A199752 3*11^n+1

4, 34, 364, 3994, 43924, 483154, 5314684, 58461514, 643076644, 7073843074, 77812273804, 855935011834, 9415285130164, 103568136431794, 1139249500749724, 12531744508246954, 137849189590716484, 1516341085497881314

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*(2-7*x)/((1-x)*(1-11*x)).

Mathematica

LinearRecurrence[{12, -11}, {4, 34}, 30] (* or *) NestList[11#-10&, 4 , 30] (* Harvey P. Dale, May 09 2013 *)

Prog

(Magma) [3*11^n+1: n in [0..30]];

Crossrefs

Sequence in context: A107350 A206180 A274344 * A264607 A307941 A084973

Adjacent sequences: A199749 A199750 A199751 * A199753 A199754 A199755

Keyword

nonn,easy

Author

Vincenzo Librandi, Nov 10 2011

Status

approved