|
|
A270239
|
|
Number of partitions of n unlabeled objects of 6 colors.
|
|
2
|
|
|
1, 6, 42, 238, 1260, 6174, 28784, 128046, 548832, 2275372, 9166311, 35987028, 138069505, 518758758, 1912300908, 6926911674, 24688892511, 86685575466, 300137463682, 1025683381758, 3462381505989, 11553577667100, 38134513479591, 124575624677088, 402986660479024
(list;
graph;
refs;
listen;
history;
text;
internal format)
|
|
|
OFFSET
|
0,2
|
|
LINKS
|
|
|
FORMULA
|
G.f.: Product_{j>=1} 1/(1-x^j)^C(j+5,5).
|
|
MAPLE
|
with(numtheory):
a:= proc(n) option remember; `if`(n=0, 1, add(add(
d*binomial(d+5, 5), d=divisors(j))*a(n-j), j=1..n)/n)
end:
seq(a(n), n=0..30);
|
|
CROSSREFS
|
|
|
KEYWORD
|
nonn
|
|
AUTHOR
|
|
|
STATUS
|
approved
|
|
|
|