A016254 Expansion of 1/((1-x)(1-7x)(1-11x)).

1, 19, 266, 3326, 39387, 452865, 5118772, 57267292, 636665813, 7050403151, 77883989118, 859030761498, 9465486544879, 104233389172477, 1147358541148904, 12626482774399544, 138930082270726185

Offset

0,2

Links

Table of n, a(n) for n=0..16.

Index entries for linear recurrences with constant coefficients, signature (19,-95,77).

Formula

a(0)=1, a(1)=19, a(n) = 18*a(n-1) - 77*a(n-2) + 1. - Vincenzo Librandi, Feb 10 2011

a(n) = (3*11^(n+2) - 5*7^(n+2) + 2)/120. - Yahia Kahloune, Jul 09 2013

Mathematica

CoefficientList[Series[1/((1-x)(1-7x)(1-11x)), {x, 0, 30}], x] (* or *) LinearRecurrence[{19, -95, 77}, {1, 19, 266}, 30] (* Harvey P. Dale, Feb 01 2024 *)

Prog

(PARI) Vec(1/((1-x)*(1-7*x)*(1-11*x)) + O(x^40)) \\ Michel Marcus, Sep 04 2017

Crossrefs

Sequence in context: A209075 A017161 A036736 * A016302 A253217 A245237

Adjacent sequences: A016251 A016252 A016253 * A016255 A016256 A016257

Keyword

nonn,easy

Author

N. J. A. Sloane

Status

approved