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Number of set partitions of [n] having exactly ten blocks of size > 1.
2

%I #9 Jul 21 2017 16:43:34

%S 654729075,59580345825,2924020048950,102811233675150,2903837588727075,

%T 70057683857786625,1499598592952460000,29215503851264230500,

%U 527544117129699920250,8948695357270547228350,144075089938915244609500,2219478078319305088785500

%N Number of set partitions of [n] having exactly ten blocks of size > 1.

%H Alois P. Heinz, <a href="/A290039/b290039.txt">Table of n, a(n) for n = 20..966</a>

%H Wikipedia, <a href="https://en.wikipedia.org/wiki/Partition_of_a_set">Partition of a set</a>

%F E.g.f.: (exp(x)-x-1)^10/10!*exp(x).

%F a(0) = a(1) = 0, for n>1 a(n) = 11*a(n-1) + (n-1)*A290038(n-2). - _Ray Chandler_, Jul 21 2017

%Y Column k=10 of A124324.

%Y Cf. A290038.

%K nonn,easy

%O 20,1

%A _Alois P. Heinz_, Jul 18 2017