A028181 Expansion of 1/((1-5x)(1-7x)(1-8x)(1-10x)).

1, 30, 569, 8730, 118461, 1484910, 17624209, 201130050, 2229604421, 24178830390, 257814842649, 2713159309770, 28259514317581, 291954572713470, 2996779685401889, 30602208691495890, 311213315402041941

Offset

0,2

Links

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

Index entries for linear recurrences with constant coefficients, signature (30, -331, 1590, -2800).

Formula

G.f.: 1/((1-5x)(1-7x)(1-8x)(1-10x)).

a(n) = (10^(n+3)-5*8^(n+3)+5*7^(n+3)-5^(n+3))/30. - Yahia Kahloune, Jun 04 2013

a(0)=1, a(1)=30, a(2)=569, a(3)=8730, a(n)=30*a(n-1)-331*a(n-2)+ 1590*a(n-3)- 2800*a(n-4). - Harvey P. Dale, Aug 18 2013

Mathematica

CoefficientList[Series[1/((1-5x)(1-7x)(1-8x)(1-10x)), {x, 0, 20}], x] (* or *) LinearRecurrence[{30, -331, 1590, -2800}, {1, 30, 569, 8730}, 20] (* Harvey P. Dale, Aug 18 2013 *)

Crossrefs

Sequence in context: A075510 A285168 A028200 * A177097 A028174 A028149

Adjacent sequences: A028178 A028179 A028180 * A028182 A028183 A028184

Keyword

nonn

Author

N. J. A. Sloane.

Status

approved