|
|
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
(list;
graph;
refs;
listen;
history;
text;
internal format)
|
|
|
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
|
|
|
KEYWORD
|
nonn
|
|
AUTHOR
|
|
|
STATUS
|
approved
|
|
|
|