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A013923
Number of labeled connected graphs with n vertices and 1 cutpoint.
2
3, 16, 250, 8496, 540568, 61672192, 12608406288, 4697459302400, 3256012245850496, 4276437400678311936, 10796431791679078528256, 52955364458428847588956160, 508511231062550463852707804160, 9611398894866376672902234634977280
OFFSET
3,1
LINKS
S. Selkow, The enumeration of labeled graphs by number of cutpoints, Discr. Math. 185 (1998), 183-191.
FORMULA
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
CROSSREFS
Column k=1 of A370064.
Sequence in context: A071897 A182012 A272385 * A053466 A005031 A300960
KEYWORD
nonn
AUTHOR
Stanley Selkow (sms(AT)owl.WPI.EDU)
EXTENSIONS
More terms from Sean A. Irvine, Aug 28 2018
STATUS
approved