A199563 a(n) = 5*9^n + 1.

6, 46, 406, 3646, 32806, 295246, 2657206, 23914846, 215233606, 1937102446, 17433922006, 156905298046, 1412147682406, 12709329141646, 114383962274806, 1029455660473246, 9265100944259206, 83385908498332846, 750473176484995606

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) = 2*A135423(n).

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

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

G.f.: 2*(3-7*x)/((1-x)*(1-9*x)).

E.g.f.: exp(x)*(1 + 5*exp(8*x)). - Stefano Spezia, Sep 28 2025

Maple

A199563:=n->5*9^n+1; seq(A199563(k), k=0..50); # Wesley Ivan Hurt, Oct 24 2013

Mathematica

Table[5*9^n+1, {n, 0, 50}] (* Wesley Ivan Hurt, Oct 24 2013 *)

Prog

(Magma) [5*9^n+1: n in [0..30]];

Crossrefs

Cf. A001019.

Sequence in context: A390622 A084772 A388914 * A349332 A365185 A111531

Adjacent sequences: A199560 A199561 A199562 * A199564 A199565 A199566

Keyword

nonn,easy

Author

Vincenzo Librandi, Nov 08 2011

Status

approved