A276897 Number of ordered set partitions of [n] such that for each block b the smallest integer interval containing b has at most seven elements.

1, 1, 3, 13, 75, 541, 4683, 47293, 498542, 5586952, 67067528, 863967424, 11931711152, 176258744536, 2777402228132, 46453613044464, 821540685443328, 15314758450069728, 300131246157443016, 6169170736959823656, 132727347264381285042, 2983326113743943646918

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=7 of A276890.

Cf. A276723.

Formula

a(n) ~ exp(6) * n!. - Vaclav Kotesovec, Sep 22 2016