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A270241
Number of partitions of n unlabeled objects of 8 colors.
2
1, 8, 72, 528, 3582, 22512, 134040, 760896, 4152852, 21897408, 112037852, 558049096, 2713386758, 12907891432, 60190937724, 275575683576, 1240483837374, 5496780654912, 24002417723284, 103380586347376, 439565299059250, 1846430027348704, 7667597264015436
OFFSET
0,2
LINKS
FORMULA
G.f.: Product_{j>=1} 1/(1-x^j)^C(j+7,7).
MAPLE
with(numtheory):
a:= proc(n) option remember; `if`(n=0, 1, add(add(
d*binomial(d+7, 7), d=divisors(j))*a(n-j), j=1..n)/n)
end:
seq(a(n), n=0..30);
CROSSREFS
Column k=8 of A075196.
Sequence in context: A180288 A082141 A304826 * A054615 A344067 A111919
KEYWORD
nonn
AUTHOR
Alois P. Heinz, Mar 13 2016
STATUS
approved