%I #14 Sep 05 2018 10:34:33
%S 1,1,77,17017,52055003,1509595087,3603403472669,10151817126357907,
%T 20516822412369330047,905797192683693552245003,
%U 11169385182982625192733131993,5636477922794232040441965063013,616692686010839721776795839509315343,266648429851302313546720724144758580231
%N Numerators of mass formula for vacuum graphs for a phi^6 field theory.
%H C. M. Bender and K. A. Milton, <a href="http://arxiv.org/abs/hep-th/9304062">Continued fraction as a discrete nonlinear transform</a>, arXiv:hep-th/9304062, 1993. See V_n with N=3.
%e 1, 1/48, 77/7680, 17017/1105920, 52055003/1061683200, 1509595087/5662310400,
%e 3603403472669/1630745395200, 10151817126357907/391378894848000, ...
%t V[n_] := (6 n - 1)!!/(6!^n n!);
%t Table[V[n] // Numerator, {n, 0, 13}] (* _Jean-François Alcover_, Sep 05 2018 *)
%Y Cf. A226257, A225697, A225698.
%K nonn,frac
%O 0,3
%A _N. J. A. Sloane_, Jun 02 2013