A199764 10*11^n+1.

11, 111, 1211, 13311, 146411, 1610511, 17715611, 194871711, 2143588811, 23579476911, 259374246011, 2853116706111, 31384283767211, 345227121439311, 3797498335832411, 41772481694156511, 459497298635721611, 5054470284992937711

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.: (11-21*x)/((1-x)*(1-11*x)).

Mathematica

NestList[11#-10&, 11, 20] (* or *) LinearRecurrence[{12, -11}, {11, 111}, 20] (* Harvey P. Dale, Aug 28 2021 *)

Prog

(Magma) [10*11^n+1: n in [0..20]];

Crossrefs

Sequence in context: A343355 A240367 A338679 * A097177 A136982 A083441

Adjacent sequences: A199761 A199762 A199763 * A199765 A199766 A199767

Keyword

nonn,easy

Author

Vincenzo Librandi, Nov 10 2011

Status

approved