A199763 a(n) = 9*11^n + 1.

10, 100, 1090, 11980, 131770, 1449460, 15944050, 175384540, 1929229930, 21221529220, 233436821410, 2567805035500, 28245855390490, 310704409295380, 3417748502249170, 37595233524740860, 413547568772149450, 4549023256493643940, 50039255821430083330, 550431814035730916620

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.: 10*(1-2*x)/((1-x)*(1-11*x)).

From Elmo R. Oliveira, Mar 25 2025: (Start)

E.g.f.: exp(x)*(9*exp(10*x) + 1).

a(n) = 10*A199760(n). (End)

Mathematica

9*11^Range[0, 20]+1 (* or *) LinearRecurrence[{12, -11}, {10, 100}, 20] (* Harvey P. Dale, Sep 06 2021 *)

Prog

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

Crossrefs

Cf. A199760.

Sequence in context: A278444 A164832 A144822 * A097178 A283288 A283377

Adjacent sequences: A199760 A199761 A199762 * A199764 A199765 A199766

Keyword

nonn,easy

Author

Vincenzo Librandi, Nov 10 2011

Status

approved