A276898 Number of ordered set partitions of [n] such that for each block b the smallest integer interval containing b has at most eight elements.

1, 1, 3, 13, 75, 541, 4683, 47293, 545835, 6541426, 82575992, 1105638712, 15740668640, 238286993344, 3830996668880, 65290928665336, 1177060804189460, 22361980927148976, 446348461695232608, 9336784271669066016, 204240575957464571232, 4663193421334759826472

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=8 of A276890.

Cf. A276724.

Formula

a(n) ~ exp(7) * n!. - Vaclav Kotesovec, Sep 22 2016