A276899 Number of ordered set partitions of [n] such that for each block b the smallest integer interval containing b has at most nine elements.

1, 1, 3, 13, 75, 541, 4683, 47293, 545835, 7087261, 95160302, 1336605832, 19761235784, 308372439520, 5082485111648, 88427826212320, 1622190325391504, 31329432209039896, 635929197472661444, 13526250938401091568, 300743675140836904032, 6975365075051730713856

Offset: 0

Author

Alois P. Heinz, Sep 21 2016

Keywords

• nonn

Links

• Alois P. Heinz, Table of n, a(n) for n = 0..448

Crossrefs

Column k=9 of A276890.

Cf. A276725.

Formula

a(n) ~ exp(8) * n!. - Vaclav Kotesovec, Sep 22 2016