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

0,3

Links

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

Formula

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

Crossrefs

Column k=8 of A276890.

Cf. A276724.

Sequence in context: A276897 A276927 A343791 * A276928 A343792 A276899

Adjacent sequences: A276895 A276896 A276897 * A276899 A276900 A276901

Keyword

nonn

Author

Alois P. Heinz, Sep 21 2016

Status

approved