%I A126757
%S A126757 1,1,1,2,4,8,18,47,137,464,1793,8167,43645,275480,2045279,17772647,
%T A126757 179593823,2098423758,28215583324
%N A126757 Number of n-node connected graphs with no cycles of length less than 
               5.
%H A126757 Keith M. Briggs, <a href="http://keithbriggs.info/cgt.html">Combinatorial 
               Graph Theory</a>
%F A126757 This is the inverse Euler transform of A006787. - Conjectured by Vladeta 
               Jovovic (vladeta(AT)eunet.rs), Jun 16 2008, proved by Max Alekseyev 
               and Brendan McKay, Jun 17 2008
%Y A126757 Cf. A006787, A140440.
%Y A126757 Sequence in context: A000117 A006771 A113989 this_sequence A034766 A099785 
               A166952
%Y A126757 Adjacent sequences: A126754 A126755 A126756 this_sequence A126758 A126759 
               A126760
%K A126757 nonn
%O A126757 1,4
%A A126757 N. J. A. Sloane (njas(AT)research.att.com), Feb 18 2007
%E A126757 Definition corrected by Max Alekseyev and Brendan McKay, Jun 17 2008