A199753 4*11^n+1.

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

Offset

0,1

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) = 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)).

Mathematica

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

Prog

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

Crossrefs

Sequence in context: A209442 A371519 A340943 * A220877 A130976 A191095

Adjacent sequences: A199750 A199751 A199752 * A199754 A199755 A199756

Keyword

nonn,easy

Author

Vincenzo Librandi, Nov 10 2011

Status

approved