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A028181
Expansion of 1/((1-5x)(1-7x)(1-8x)(1-10x)).
0
1, 30, 569, 8730, 118461, 1484910, 17624209, 201130050, 2229604421, 24178830390, 257814842649, 2713159309770, 28259514317581, 291954572713470, 2996779685401889, 30602208691495890, 311213315402041941
OFFSET
0,2
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
KEYWORD
nonn
AUTHOR
STATUS
approved