%I #8 Nov 03 2017 22:21:44
%S 0,0,0,0,1,3,33,496,16464,969293
%N Number of simple connected graphs g whose fractional chromatic number is not equal to its (integer) chromatic number.
%C This implies that there is a gap between the corresponding integer and linear programs defining fractional colorings. Every simple graph has a fractional chromatic number which is a rational number or integer.
%H Travis Hoppe and Anna Petrone, <a href="https://github.com/thoppe/Encyclopedia-of-Finite-Graphs">Encyclopedia of Finite Graphs</a>
%H Eric Weisstein's World of Mathematics, <a href="http://mathworld.wolfram.com/FractionalChromaticNumber.html">Fractional Chromatic Number</a>
%F a(n) = A001349(n) - A243252(n). - _Andrew Howroyd_, Nov 03 2017
%Y Cf. A243252 (fractional chromatic number is equal to chromatic number)
%K nonn,more
%O 1,6
%A _Travis Hoppe_ and _Anna Petrone_, Jun 20 2014