A016247 Expansion of 1/((1-x)(1-6x)(1-11x)).

1, 18, 241, 2910, 33565, 378546, 4219993, 46755846, 516329845, 5691721530, 62681496241, 689931815118, 7591862105101, 83526155988930, 918881752875145, 10108263503608086, 111194283871577893, 1223157434578690506

Offset

0,2

Links

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

Index entries for linear recurrences with constant coefficients, signature (18, -83, 66).

Formula

a(0)=1, a(1)=18, a(n)=17*a(n-1)-66*a(n-2)+1. - Vincenzo Librandi, Feb 10 2011

a(0)=1, a(1)=18, a(2)=241, a(n)=18*a(n-1)-83*a(n-2)+66*a(n-3). - Harvey P. Dale, Sep 23 2012

a(n) = (11^(n+2) - 2*6^(n+2) + 1)/50. [Yahia Kahloune, Aug 13 2013]

Mathematica

CoefficientList[Series[1/((1-x)(1-6x)(1-11x)), {x, 0, 30}], x] (* or *) LinearRecurrence[{18, -83, 66}, {1, 18, 241}, 30] (* Harvey P. Dale, Sep 23 2012 *)

Prog

(PARI) a(n) = (11^(n+2) - 2*6^(n+2) + 1)/50; \\ Joerg Arndt, Aug 13 2013

Crossrefs

Sequence in context: A016252 A016301 A058126 * A021064 A181379 A080629

Adjacent sequences: A016244 A016245 A016246 * A016248 A016249 A016250

Keyword

nonn

Author

N. J. A. Sloane.

Status

approved