A097167 a(n) = 3*10^n - 2*9^n.

1, 12, 138, 1542, 16878, 181902, 1937118, 20434062, 213906558, 2225159022, 23026431198, 237237880782, 2435140927038, 24916268343342, 254246415090078, 2588217735810702, 26293959622296318, 266645636600666862, 2699810729406001758, 27298296564654015822, 275684669081886142398

Offset

0,2

Comments

Partial sums are A097168.

Links

Paolo Xausa, Table of n, a(n) for n = 0..950

Index entries for linear recurrences with constant coefficients, signature (19,-90).

Formula

G.f.: (1-7*x)/((1-9*x)*(1-10*x)).

a(n) = 19*a(n-1) - 90*a(n-2).

Mathematica

A097167[n_] := 3*10^n - 2*9^n; Array[A097167, 25, 0] (* Paolo Xausa, Mar 04 2026 *)

Crossrefs

Cf. A097168.

Sequence in context: A243966 A377260 A377234 * A125469 A113366 A360203

Adjacent sequences: A097164 A097165 A097166 * A097168 A097169 A097170

Keyword

easy,nonn

Author

Paul Barry, Jul 30 2004

Extensions

More terms from Paolo Xausa, Mar 04 2026

Status

approved