A058540
Another 3-way generalization of series-parallel networks with n unlabeled edges.
Original entry on oeis.org
0, 1, 3, 9, 36, 144, 651, 3015, 14634, 72654, 369063, 1904985, 9971889, 52788393, 282161025, 1520597895, 8253281871, 45075359277, 247534382298, 1365994896264, 7571065357620, 42127865408028, 235246997219400, 1317894484506336
Offset: 0
-
spec := [ N, {N=Union(Z,S,P,Q), S=Set(Union(Z,P,Q),card>=2), P=Set(Union(Z,S,Q),card>=2), Q=Set(Union(Z,S,P),card>=2)} ]; [seq(combstruct[count](spec,size=n), n=0..40)]; # N=A058540, S=A058371
A058561
A 3-way generalization of series-parallel networks with n labeled edges.
Original entry on oeis.org
0, 1, 3, 12, 78, 708, 8256, 117624, 1980096, 38456736, 846413472, 20819693568, 565998548352, 16852047061632, 545372109629184, 19061178127458816, 715541912895773184, 28713061759257037824, 1226513716981332031488
Offset: 0
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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
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