A028129 Expansion of 1/((1-4x)(1-5x)(1-11x)(1-12x)).

1, 32, 665, 11440, 177441, 2582592, 36039145, 488323280, 6475959281, 84497107552, 1088651482425, 13885593262320, 175667802947521, 2207466992246912, 27583620276442505, 343037771674508560

Offset

0,2

Links

Table of n, a(n) for n=0..15.

Index entries for linear recurrences with constant coefficients, signature (32,-359,1648,-2640)

Formula

From Vincenzo Librandi, Mar 17 2011: (Start)

a(n) = 32*a(n-1) - 359*a(n-2) + 1648*a(n-3) - 2640*a(n-4), n >= 4.

a(n) = 23*a(n-1) - 132*a(n-2) + 5^(n+1) - 4^(n+1), n >= 2. (End)

a(n) = 18*12^(n+1)/7 - 11^(n+3)/42 - 2*4^(n+1)/7 + 5^(n+3)/42. - R. J. Mathar, Mar 18 2011

Mathematica

CoefficientList[Series[1/((1-4x)(1-5x)(1-11x)(1-12x)), {x, 0, 30}], x] (* or *) LinearRecurrence[{32, -359, 1648, -2640}, {1, 32, 665, 11440}, 30] (* Harvey P. Dale, Sep 24 2014 *)

Crossrefs

Sequence in context: A028101 A028097 A028021 * A028088 A028019 A028014

Adjacent sequences: A028126 A028127 A028128 * A028130 A028131 A028132

Keyword

nonn

Author

N. J. A. Sloane

Status

approved