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

0,3

Links

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

Formula

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

Crossrefs

Column k=7 of A276890.

Cf. A276723.

Sequence in context: A276896 A276926 A343790 * A276927 A343791 A276898

Adjacent sequences: A276894 A276895 A276896 * A276898 A276899 A276900

Keyword

nonn

Author

Alois P. Heinz, Sep 21 2016

Status

approved