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A376866
Smallest integer k >= 2 such that there exist n partitions whose corresponding multinomial coefficients are all equal to k, with no part appearing in more than one of the partitions.
0
2, 6, 120, 3003, 433866230594439538896000
OFFSET
1,1
EXAMPLE
| | n partitions with multinomial coefficient a(n)
n | a(n) | and disjoint sets of parts
--+--------------------------+---------------------------------------------
1 | 2 | (1,1)
2 | 6 | (2,2), (1,5)
3 | 120 | (3,7), (2,14), (1,119)
4 | 3003 | (6,8), (5,10), (2,76), (1,3002)
5 | 433866230594439538896000 | (4,9,13,23), (2,2,8,11,27), (3,3,3,16,25), (5,6,15,24),
| | (1,433866230594439538895999)
CROSSREFS
KEYWORD
nonn,hard,more
AUTHOR
STATUS
approved