A276899 - OEIS

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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

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OFFSET

0,3

LINKS

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

FORMULA

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

CROSSREFS

Column k=9 of A276890.

Cf. A276725.

Sequence in context: A276898 A276928 A343792 * A276929 A343793 A276900

Adjacent sequences: A276896 A276897 A276898 * A276900 A276901 A276902

KEYWORD

nonn

AUTHOR

Alois P. Heinz, Sep 21 2016

STATUS

approved