A290039 Number of set partitions of [n] having exactly ten blocks of size > 1.

654729075, 59580345825, 2924020048950, 102811233675150, 2903837588727075, 70057683857786625, 1499598592952460000, 29215503851264230500, 527544117129699920250, 8948695357270547228350, 144075089938915244609500, 2219478078319305088785500

Offset: 20

Author

Alois P. Heinz, Jul 18 2017

Keywords

• nonn
• easy

Links

• Alois P. Heinz, Table of n, a(n) for n = 20..966
• Wikipedia, Partition of a set
• Index entries for linear recurrences with constant coefficients, order 66.

Crossrefs

Column k=10 of A124324.

Cf. A290038.

Formula

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

a(0) = a(1) = 0, for n>1 a(n) = 11*a(n-1) + (n-1)*A290038(n-2). - Ray Chandler, Jul 21 2017