A199760 (9*11^n+1)/10.

1, 10, 109, 1198, 13177, 144946, 1594405, 17538454, 192922993, 2122152922, 23343682141, 256780503550, 2824585539049, 31070440929538, 341774850224917, 3759523352474086, 41354756877214945, 454902325649364394, 5003925582143008333

Offset

0,2

Links

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

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

Formula

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

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

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

a(n) = 11^n - sum(11^i, i=0..n-1) for n>0. [Bruno Berselli, Jun 20 2013]

Prog

(Magma) [(9*11^n+1)/10: n in [0..30]];

Crossrefs

Sequence in context: A267280 A015591 A078922 * A082181 A190919 A095740

Adjacent sequences: A199757 A199758 A199759 * A199761 A199762 A199763

Keyword

nonn,easy

Author

Vincenzo Librandi, Nov 10 2011

Status

approved