A016205 Expansion of 1/((1-x)(1-2x)(1-10x)).

1, 13, 137, 1385, 13881, 138873, 1388857, 13888825, 138888761, 1388888633, 13888888377, 138888887865, 1388888886841, 13888888884793, 138888888880697, 1388888888872505, 13888888888856121, 138888888888823353

Offset

0,2

Links

Table of n, a(n) for n=0..17.

Index entries for linear recurrences with constant coefficients, signature (13,-32,20).

Formula

a(n) = (25*10^n - 9*2^n + 2)/18. - Bruno Berselli, Feb 09 2011

a(n) = 10*a(n-1) + 2^(n+1) - 1 if n > 0; a(0)=1. - Vincenzo Librandi, Feb 09 2011

Crossrefs

Sequence in context: A157950 A249444 A046278 * A083755 A113579 A164967

Adjacent sequences: A016202 A016203 A016204 * A016206 A016207 A016208

Keyword

nonn

Author

N. J. A. Sloane

Status

approved