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%I #9 Dec 17 2022 08:25:47
%S 0,1,15,336,8880,254596,7606446,231899522,7137539256,220623286632,
%T 6831984816402,211719998195278,6562887569336652,203453536535818388,
%U 6307290799931347878,195532244201392935354,6061637498660735815968
%N Number of connected (5,n)-hypergraphs (without empty edges).
%H Goran Kilibarda and Vladeta Jovovic, <a href="https://arxiv.org/abs/1411.4187">Enumeration of some classes of T_0-hypergraphs</a>, arXiv:1411.4187 [math.CO], 2014.
%F E.g.f.: (1/5!)*(exp(31*x) - 5*exp(16*x) + 10*exp(15*x) - 10*exp(10*x) + 20*exp(9*x) - 40*exp(8*x) + 65*exp(7*x) - 90*exp(6*x) + 144*exp(5*x) - 165*exp(4*x) + 120*exp(3*x) - 50*exp(2*x) + 24*exp(x) - 24).
%Y Cf. A002501, A002502, A093732, A093733, A114932-A114936.
%K easy,nonn
%O 0,3
%A Goran Kilibarda and _Vladeta Jovovic_, Jan 08 2006
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