Here is a try

Z=species.SingletonSpecies()
E2=species.SetSpecies(min=2)
P=CombinatorialSpecies()
S=CombinatorialSpecies()
P.define(E2.composition(Z+S))
S.define(E2.composition(Z+P))
N=Z+P+S

That seems to work :

sage: koko=N.generating_series().coefficients(8)
sage: [koko[i]*factorial(i) for i in range(len(koko))]
[0, 1, 2, 8, 52, 472, 5504, 78416]

compare with https://oeis.org/A006351

Frederic

On 25 juil, 13:12, Frank Zenter <zent...@gmail.com> wrote:
> Dear combinat-developers,
>
> for my research I would lik to study thespeciesof series-parallel
> networks.
> In EOIS as sloane.A006351 they propose the combstruct-code
>
> spec := [ N, {N=Union(Z, S, P), S=Set(Union(Z, P), card>=2),
> P=Set(Union(Z, S), card>=2)}, labeled ]:
>
> How can I make that using sage-combinat?
>
> A search in the reference manual did not help, so I hope you can help
> me.
> (by the way: there seems to be a typo in the manual.  As operations onSpecies
> the second item should read "ProductSpecies" and not "SumSpecies")
>
> Thank you for your help.
>
> Frank

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