A028155 Expansion of 1/((1-4x)(1-8x)(1-9x)(1-10x)).

1, 31, 611, 9779, 138747, 1820595, 22624267, 270185443, 3130828283, 35437220819, 393679085163, 4307728419267, 46553144477659, 497913631860403, 5279371826945099, 55566205514956451, 581177386017567675

Offset

0,2

Links

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

Index entries for linear recurrences with constant coefficients, signature (31,-350,1688,-2880).

Formula

a(n)=(10^(n+4)-24*9^(n+3)+15*8^(n+3)-4^(n+3))/120. [Yahia Kahloune, Jun 04 2013]

Mathematica

CoefficientList[Series[1/((1-4x)(1-8x)(1-9x)(1-10x)), {x, 0, 20}], x] (* or *) LinearRecurrence[{31, -350, 1688, -2880}, {1, 31, 611, 9779}, 20] (* Harvey P. Dale, Jun 21 2021 *)

Crossrefs

Sequence in context: A028184 A215794 A028182 * A028175 A028150 A028173

Adjacent sequences: A028152 A028153 A028154 * A028156 A028157 A028158

Keyword

nonn

Author

N. J. A. Sloane.

Status

approved