A199753 4*11^n+1.

5, 45, 485, 5325, 58565, 644205, 7086245, 77948685, 857435525, 9431790765, 103749698405, 1141246682445, 12553713506885, 138090848575725, 1518999334332965, 16708992677662605, 183798919454288645, 2021788113997175085

Offset: 0

Author

Vincenzo Librandi, Nov 10 2011

Keywords

• nonn
• easy

Links

• Vincenzo Librandi, Table of n, a(n) for n = 0..900
• Index entries for linear recurrences with constant coefficients, signature (12,-11).

Programs

Magma

[4*11^n+1: n in [0..30]];

Mathematica

4*11^Range[0,20]+1 (* or *) LinearRecurrence[{12,-11},{5,45},20] (* Harvey P. Dale, Mar 28 2012 *)

Formula

a(n) = 5*A083077

a(n) = 11*a(n-1)-10.

a(n) = 12*a(n-1)-11*a(n-2).

G.f.: 5*(1-3*x)/((1-x)*(1-11*x)).