A016255 Expansion of 1/((1-x)(1-7x)(1-12x)).

1, 20, 297, 3964, 50369, 624036, 7625689, 92469068, 1116354417, 13443332212, 161649541001, 1942101373212, 23321364646945, 279969412942148, 3360424215557433, 40330629408450796, 484006324653740753

Offset

0,2

Links

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

Index entries for linear recurrences with constant coefficients, signature (20,-103,84).

Formula

a(0)=1, a(1)=20, a(n) = 19*a(n-1) - 84*a(n-2) + 1. - Vincenzo Librandi, Feb 10 2011

a(n) = (6*12^(n+2) - 11*7^(n+2) + 5)/330. - Yahia Kahloune, Jul 09 2013

Mathematica

CoefficientList[Series[1/((1-x)(1-7x)(1-12x)), {x, 0, 30}], x] (* Harvey P. Dale, Nov 25 2018 *)

Prog

(PARI) Vec(1/((1-x)*(1-7*x)*(1-12*x)) + O(x^40)) \\ Michel Marcus, Sep 04 2017

Crossrefs

Sequence in context: A132168 A069326 A001708 * A322052 A250014 A291256

Adjacent sequences: A016252 A016253 A016254 * A016256 A016257 A016258

Keyword

nonn

Author

N. J. A. Sloane

Status

approved