A028124 Expansion of 1/((1-4x)(1-5x)(1-9x)(1-10x)).

1, 28, 503, 7406, 97545, 1198344, 14051227, 159447442, 1766581949, 19223504300, 206298840111, 2189789938518, 23040266816113, 240689810119696, 2499511822660355, 25828790012697434, 265791691961403237

Offset

0,2

Links

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

Index entries for linear recurrences with constant coefficients, signature (28,-281,1190,-1800)

Formula

From Vincenzo Librandi, Mar 17 2011: (Start)

a(n) = 28*a(n-1) - 281*a(n-2) + 1190*a(n-3) - 1800*a(n-4), n >= 4. - Vincenzo Librandi, Mar 17 2011

a(n) = 19*a(n-1) - 90*a(n-2) + 5^(n+1) - 4^(n+1), n >= 2. (End)

a(n) = 10^(n+2)/3 + 5^(n+2)/4 - 9^(n+3)/20 - 2*4^(n+2)/15. - R. J. Mathar, Mar 17 2011

Mathematica

CoefficientList[Series[1/((1-4x)(1-5x)(1-9x)(1-10x)), {x, 0, 30}], x] (* or *) LinearRecurrence[{28, -281, 1190, -1800}, {1, 28, 503, 7406}, 30] (* Harvey P. Dale, May 01 2012 *)

Crossrefs

Sequence in context: A028167 A028136 A028090 * A028133 A042516 A028083

Adjacent sequences: A028121 A028122 A028123 * A028125 A028126 A028127

Keyword

nonn

Author

N. J. A. Sloane

Status

approved