A276900 - OEIS

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A276900

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

1, 1, 3, 13, 75, 541, 4683, 47293, 545835, 7087261, 102247563, 1520385010, 23523325304, 380789137336, 6467270373536, 115360990236256, 2161133759447744, 42490485277902688, 875847933546165968, 18903517993567133752, 426618313415065361204, 10043227358229156346032

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OFFSET

0,3

LINKS

Alois P. Heinz, Table of n, a(n) for n = 0..300

FORMULA

a(n) ~ exp(9) * n!. - Vaclav Kotesovec, Sep 22 2016

CROSSREFS

Column k=10 of A276890.

Cf. A276726.

Sequence in context: A276899 A276929 A343793 * A276930 A034172 A000670

Adjacent sequences: A276897 A276898 A276899 * A276901 A276902 A276903

KEYWORD

nonn

AUTHOR

Alois P. Heinz, Sep 21 2016

STATUS

approved