A199681 11*9^n+1.

12, 100, 892, 8020, 72172, 649540, 5845852, 52612660, 473513932, 4261625380, 38354628412, 345191655700, 3106724901292, 27960524111620, 251644717004572, 2264802453041140, 20383222077370252, 183448998696332260

Offset

0,1

Links

Vincenzo Librandi, Table of n, a(n) for n = 0..1000

Index entries for linear recurrences with constant coefficients, signature (10,-9).

Formula

a(n) = 9*a(n-1)-8.

a(n) = 10*a(n-1)-9*a(n-2).

G.f.: 4*(3-5*x)/((1-x)*(1-9*x)).

Mathematica

11*9^Range[0, 20]+1 (* or *) LinearRecurrence[{10, -9}, {12, 100}, 20] (* Harvey P. Dale, Apr 26 2017 *)

Prog

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

Crossrefs

Sequence in context: A016283 A243880 A338811 * A211403 A008547 A109020

Adjacent sequences: A199678 A199679 A199680 * A199682 A199683 A199684

Keyword

nonn,easy

Author

Vincenzo Librandi, Nov 09 2011

Status

approved