A016324 Expansion of 1/((1-2x)(1-9x)(1-12x)).

1, 23, 379, 5483, 74227, 966635, 12282883, 153544091, 1897874803, 23272609547, 283754322787, 3445398949499, 41707911082579, 503763046196459, 6074569573223491, 73159552048508507, 880297079110607155

Offset

0,2

Links

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

Index entries for linear recurrences with constant coefficients, signature (23,-150,216).

Formula

From Vincenzo Librandi, Oct 09 2011: (Start)

a(n) = (168*12^n + 2^(n+1)- 5*3^(2*n+3))/35.

a(n) = 21*a(n-1) - 108*a(n-2) + 2^n.

a(n) = 23*a(n-1) - 150*a(n-2) + 216*a(n-3), n >= 3. (End)

Mathematica

CoefficientList[Series[1/((1-2x)(1-9x)(1-12x)), {x, 0, 20}], x] (* or *) LinearRecurrence[{23, -150, 216}, {1, 23, 379}, 20] (* Harvey P. Dale, Apr 08 2013 *)

Prog

(Magma) [(168*12^n +2^(n+1)-5*3^(2*n+3))/35 : n in [0..20]]; // Vincenzo Librandi, Oct 09 2011
(PARI) Vec(1/((1-2*x)*(1-9*x)*(1-12*x))+O(x^99)) \\ Charles R Greathouse IV, Sep 26 2012

Crossrefs

Sequence in context: A021279 A018071 A016325 * A264321 A285234 A046493

Adjacent sequences: A016321 A016322 A016323 * A016325 A016326 A016327

Keyword

nonn,easy

Author

N. J. A. Sloane

Status

approved