A105280 a(0)=0; a(n) = 11*a(n-1) + 11.

0, 11, 132, 1463, 16104, 177155, 1948716, 21435887, 235794768, 2593742459, 28531167060, 313842837671, 3452271214392, 37974983358323, 417724816941564, 4594972986357215, 50544702849929376, 555991731349223147, 6115909044841454628, 67274999493256000919, 740024994425816010120

Offset

0,2

Links

Harvey P. Dale, Table of n, a(n) for n = 0..960

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

Formula

a(n) = 11^n + a(n-1) (with a(0)=0). - Vincenzo Librandi, Nov 13 2010

From Elmo R. Oliveira, May 24 2025: (Start)

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

E.g.f.: 11*exp(x)*(exp(10*x) - 1)/10.

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

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

a(n) = A016123(n) - 1. (End)

Maple

a:=n-> add(11^j, j=1..n): seq(a(n), n=0..12); # Zerinvary Lajos, Oct 03 2007

Mathematica

NestList[11#+11&, 0, 20] (* or *) LinearRecurrence[{12, -11}, {0, 11}, 20] (* Harvey P. Dale, Dec 02 2023 *)

Crossrefs

Cf. A000918, A016123, A029858, A052379, A052386, A080674.

Row n=11 of A228275.

Sequence in context: A158536 A229252 A242163 * A196731 A289415 A051431

Adjacent sequences: A105277 A105278 A105279 * A105281 A105282 A105283

Keyword

base,easy,nonn

Author

Alexandre Wajnberg, Apr 25 2005

Extensions

Corrected by T. D. Noe, Nov 07 2006

Status

approved