A028139 Expansion of 1/((1-4x)(1-6x)(1-9x)(1-10x)).

1, 29, 537, 8113, 109193, 1365777, 16254169, 186716321, 2089642665, 22928450545, 247752021881, 2644807869249, 27960164339017, 293249462073233, 3055559544501273, 31664588166403297, 326635270896335849

Offset

0,2

Links

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

Index entries for linear recurrences with constant coefficients, signature (29, -304, 1356, -2160).

Formula

a(n)=(5*10^(n+3)-8*9^(n+3)+5*6^(n+3)-2*4^(n+3))/120. [Yahia Kahloune, Jun 02 2013]

Mathematica

CoefficientList[Series[1/((1-4x)(1-6x)(1-9x)(1-10x)), {x, 0, 20}], x] (* or *) LinearRecurrence[{29, -304, 1356, -2160}, {1, 29, 537, 8113}, 20] (* Harvey P. Dale, Feb 27 2024 *)

Crossrefs

Sequence in context: A028146 A121046 A028168 * A028137 A028093 A153816

Adjacent sequences: A028136 A028137 A028138 * A028140 A028141 A028142

Keyword

nonn

Author

N. J. A. Sloane.

Status

approved