A013923 - OEIS

%I #17 Feb 26 2024 01:21:46

%S 3,16,250,8496,540568,61672192,12608406288,4697459302400,

%T 3256012245850496,4276437400678311936,10796431791679078528256,

%U 52955364458428847588956160,508511231062550463852707804160,9611398894866376672902234634977280

%N Number of labeled connected graphs with n vertices and 1 cutpoint.

%H Andrew Howroyd, <a href="/A013923/b013923.txt">Table of n, a(n) for n = 3..50</a>

%H S. Selkow, <a href="https://doi.org/10.1016/S0012-365X(97)00170-2">The enumeration of labeled graphs by number of cutpoints</a>, Discr. Math. 185 (1998), 183-191.

%F E.g.f.: x * (exp(B'(x)) - B'(x) - 1) where B(x) is the e.g.f. for A013922. - _Sean A. Irvine_, Aug 28 2018

%Y Column k=1 of A370064.

%K nonn

%O 3,1

%A Stanley Selkow (sms(AT)owl.WPI.EDU)

%E More terms from _Sean A. Irvine_, Aug 28 2018