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Number of ordered set partitions of [n] such that for each block b the smallest integer interval containing b has at most ten elements.
3

%I #6 Sep 22 2016 09:52:04

%S 1,1,3,13,75,541,4683,47293,545835,7087261,102247563,1520385010,

%T 23523325304,380789137336,6467270373536,115360990236256,

%U 2161133759447744,42490485277902688,875847933546165968,18903517993567133752,426618313415065361204,10043227358229156346032

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

%H Alois P. Heinz, <a href="/A276900/b276900.txt">Table of n, a(n) for n = 0..300</a>

%F a(n) ~ exp(9) * n!. - _Vaclav Kotesovec_, Sep 22 2016

%Y Column k=10 of A276890.

%Y Cf. A276726.

%K nonn

%O 0,3

%A _Alois P. Heinz_, Sep 21 2016