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A 3-way generalization of series-parallel networks with n labeled edges.
2

%I #4 Mar 30 2012 16:48:56

%S 0,1,3,12,78,708,8256,117624,1980096,38456736,846413472,20819693568,

%T 565998548352,16852047061632,545372109629184,19061178127458816,

%U 715541912895773184,28713061759257037824,1226513716981332031488

%N A 3-way generalization of series-parallel networks with n labeled edges.

%p spec := [ N, {N=Union(Z,S,P,Q), S=Set(Union(Z,P),card>=2), P=Set(Union(Z,Q),card>=2), Q=Set(Union(Z,S),card>=2)}, labeled ]; [seq(combstruct[count](spec,size=n), n=0..40)]; # N = A058561, S=A000311

%Y Cf. A058534, A000311, A006351.

%K nonn

%O 0,3

%A _N. J. A. Sloane_, Dec 26 2000