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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 nine elements.
3

%I #11 Jul 18 2017 07:49:13

%S 1,1,3,13,75,541,4683,47293,545835,7087261,95160302,1336605832,

%T 19761235784,308372439520,5082485111648,88427826212320,

%U 1622190325391504,31329432209039896,635929197472661444,13526250938401091568,300743675140836904032,6975365075051730713856

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

%H Alois P. Heinz, <a href="/A276899/b276899.txt">Table of n, a(n) for n = 0..448</a>

%F a(n) ~ exp(8) * n!. - _Vaclav Kotesovec_, Sep 22 2016

%Y Column k=9 of A276890.

%Y Cf. A276725.

%K nonn

%O 0,3

%A _Alois P. Heinz_, Sep 21 2016