A028126 - OEIS

A028126

Expansion of 1/((1-4x)(1-5x)(1-9x)(1-12x)).

1, 30, 583, 9372, 135949, 1854282, 24319171, 310765224, 3901290217, 48373167414, 594541806079, 7261303210356, 88278005955205, 1069623213421026, 12928092282515707, 155970779176282368

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OFFSET

0,2

LINKS

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

Index entries for linear recurrences with constant coefficients, signature (30,-317,1392,-2160).

FORMULA

From Vincenzo Librandi, Mar 17 2011: (Start)

a(n) = 30*a(n-1) - 317*a(n-2) + 1392*a(n-3) - 2160*a(n-4), n >= 4.

a(n) = 21*a(n-1) - 108*a(n-2) + 5^(n+1) - 4^(n+1), n >= 2. (End)

a(n) = -2*4^(n+1)/5 - 3*9^(n+2)/20 + 6*12^(n+1)/7 + 5^(n+3)/28. - R. J. Mathar, Mar 18 2011

MATHEMATICA

CoefficientList[Series[1/((1-4x)(1-5x)(1-9x)(1-12x)), {x, 0, 20}], x] (* or *) LinearRecurrence[{30, -317, 1392, -2160}, {1, 30, 583, 9372}, 20] (* Harvey P. Dale, Dec 04 2018 *)

CROSSREFS

Sequence in context: A028127 A028086 A028092 * A028016 A028085 A028012

Adjacent sequences: A028123 A028124 A028125 * A028127 A028128 A028129

KEYWORD

nonn

AUTHOR

N. J. A. Sloane

STATUS

approved