A016206 Expansion of 1/((1-x)*(1-2x)*(1-11x)).

1, 14, 161, 1786, 19677, 216510, 2381737, 26199362, 288193493, 3170129446, 34871425953, 383585689578, 4219442593549, 46413868545422, 510552554032409, 5616078094422034, 61776859038773445, 679545449426770038

Offset

0,2

Links

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

Index entries for linear recurrences with constant coefficients, signature (14,-35,22).

Formula

G.f.: 1/((1-x)*(1-2*x)*(1-11*x)).

a(n) = (121*11^n - 40*2^n + 9)/90. - Bruno Berselli, Feb 09 2011

a(n) = 11*a(n-1) + 2^(n+1) - 1, a(0)=1. - Vincenzo Librandi, Feb 09 2011

a(n) = 14*a(n-1) - 35*a(n-2) + 22*a(n-3); a(0)=1, a(1)=14, a(2)=161. - Harvey P. Dale, Nov 02 2011

Mathematica

CoefficientList[Series[1/((1-x)(1-2x)(1-11x)), {x, 0, 30}], x] (* or *) LinearRecurrence[{14, -35, 22}, {1, 14, 161}, 31] (* Harvey P. Dale, Nov 02 2011 *)

Crossrefs

Sequence in context: A229611 A282043 A193103 * A161158 A238116 A153664

Adjacent sequences: A016203 A016204 A016205 * A016207 A016208 A016209

Keyword

nonn

Author

N. J. A. Sloane

Status

approved