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Ira Gessel and Ji Li, <a href="http://arxiv.org/abs/0705.0042">Enumeration of point-determining graphs</a>, arXiv:0705.0042 [math.CO], 2007-2009.
Andy Hardt, Pete McNeely, Tung Phan, and Justin M. Troyka, <a href="http://arxiv.org/abs/1312.0542">Combinatorial species and graph enumeration</a>, arXiv:1312.0542 [math.CO], 2013.
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terms = 20;
CoefficientList[Sqrt[Sum[((1+x)^2^k Log[1+x]^k)/k!, {k, 0, terms}]] + O[x]^terms, x] Range[0, terms-1]! (* Jean-François Alcover, Sep 13 2018, after Andrew Howroyd *)
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Andrew Howroyd, <a href="/A232699/b232699_2.txt">Table of n, a(n) for n = 0..100</a> (terms 0..20 from Justin M. Troyka)
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a(n) = Sum_{k=0..n} Stirling1(n,k)*A047864(k) for n > 0.
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