A199563 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

Author

Vincenzo Librandi, Nov 08 2011

Keywords

• nonn
• easy

Links

• Vincenzo Librandi, Table of n, a(n) for n = 0..1000
• Index entries for linear recurrences with constant coefficients, signature (10,-9).

Programs

Magma

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

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 *)

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)).