A028111 Expansion of 1/((1-4x)(1-5x)(1-6x)(1-9x)).

1, 24, 367, 4578, 50953, 528612, 5239459, 50371926, 474339085, 4403719320, 40486113031, 369718215594, 3360676724497, 30451202305548, 275320935296683, 2485597397873982, 22417376221672789, 202042129817685696

Offset

0,2

Links

Table of n, a(n) for n=0..17.

Index entries for linear recurrences with constant coefficients, signature (24, -209, 786, -1080).

Formula

a(0)=1, a(1)=24, a(2)=367, a(3)=4578, a(n)=24*a(n-1)-209*a(n-2)+ 786*a(n-3)- 1080*a(n-4). - Harvey P. Dale, May 08 2013

a(n)=(9^(n+3)-10*6^(n+3)+3*5^(n+4)-6*4^(n+3))/60. [Yahia Kahloune, Jun 11 2013]

Mathematica

CoefficientList[Series[1/((1-4x)(1-5x)(1-6x)(1-9x)), {x, 0, 40}], x] (* or *) LinearRecurrence[{24, -209, 786, -1080}, {1, 24, 367, 4578}, 40] (* Harvey P. Dale, May 08 2013 *)

Crossrefs

Sequence in context: A028115 A125481 A028074 * A168304 A053062 A028060

Adjacent sequences: A028108 A028109 A028110 * A028112 A028113 A028114

Keyword

nonn

Author

N. J. A. Sloane.

Status

approved