A016326 Expansion of 1/((1-2x)(1-10x)(1-12x)).

1, 24, 412, 6192, 86800, 1166592, 15249088, 195489024, 2470868224, 30900418560, 383305022464, 4724660269056, 57945923227648, 707851078729728, 8619212944752640, 104680555337023488, 1268666664044265472

Offset

0,2

Links

Vincenzo Librandi, Table of n, a(n) for n = 0..900

Index entries for linear recurrences with constant coefficients, signature (24,-164, 240).

Formula

From Vincenzo Librandi, Oct 09 2011: (Start)

a(n) = (12^(n+2)+2^n-125*10^n)/20.

a(n) = 22*a(n-1) - 120*a(n-2) + 2^n.

a(n) = 24*a(n-1) - 164*a(n-2) + 240*a(n-3), n>=3. (End)

Mathematica

CoefficientList[Series[1/((1-2x)(1-10x)(1-12x)), {x, 0, 20}], x] (* or *) LinearRecurrence[{24, -164, 240}, {1, 24, 412}, 20] (* Harvey P. Dale, Aug 30 2014 *)

Prog

(Magma) [(12^(n+2)+2^n-125*10^n)/20 : n in [0..20]]; // Vincenzo Librandi, Oct 09 2011
(PARI) Vec(1/((1-2*x)*(1-10*x)*(1-12*x))+O(x^99)) \\ Charles R Greathouse IV, Sep 26 2012

Crossrefs

Sequence in context: A227750 A221619 A267166 * A287994 A072975 A062193

Adjacent sequences: A016323 A016324 A016325 * A016327 A016328 A016329

Keyword

nonn,easy

Author

N. J. A. Sloane.

Status

approved