A028146 Expansion of 1/((1-4x)(1-7x)(1-8x)(1-10x)).

1, 29, 535, 8025, 106911, 1320249, 15480655, 174931625, 1923680671, 20725530969, 219822814575, 2303376354825, 23907223188031, 246285893877689, 2522150397345295, 25706911853867625, 261029919360032991

Offset

0,2

Links

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

Index entries for linear recurrences with constant coefficients, signature (29,-306,1384,-2240).

Formula

a(n)=(2*10^(n+3)-9*8^(n+3)+8*7^(n+3)-4^(n+3))/72. [Yahia Kahloune, May 31 2013]

Mathematica

CoefficientList[Series[1/((1-4x)(1-7x)(1-8x)(1-10x)), {x, 0, 20}], x] (* or *) LinearRecurrence[{29, -306, 1384, -2240}, {1, 29, 535, 8025}, 20] (* Harvey P. Dale, Apr 20 2018 *)

Crossrefs

Sequence in context: A225899 A028180 A028171 * A121046 A028168 A028139

Adjacent sequences: A028143 A028144 A028145 * A028147 A028148 A028149

Keyword

nonn,easy

Author

N. J. A. Sloane.

Status

approved