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A290037 Number of set partitions of [n] having exactly eight blocks of size > 1. 3

%I

%S 2027025,126351225,4307428125,106546244805,2141473308975,

%T 37150564425975,577265949054795,8235084928545475,109751266389634870,

%U 1384084804861708950,16677998006092973550,193476119789167365150,2173729827868142994450,23766456155164279406850

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

%H Alois P. Heinz, <a href="/A290037/b290037.txt">Table of n, a(n) for n = 16..1000</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)^8/8!*exp(x).

%F a(0) = a(1) = 0, for n>1 a(n) = 9*a(n-1) + (n-1)*A290036(n-2). - _Ray Chandler_, Jul 21 2017

%Y Column k=8 of A124324.

%Y Cf. A290036.

%K nonn,easy

%O 16,1

%A _Alois P. Heinz_, Jul 18 2017

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Last modified November 28 04:31 EST 2021. Contains 349400 sequences. (Running on oeis4.)