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A339283 Number of unoriented series-parallel networks with n integer valued elements spanning an initial interval of positive integers. 3

%I #4 Nov 30 2020 21:40:17

%S 1,4,28,361,7061,184327,5941855,226973560,10011116097,500553647373,

%T 27975194135702,1728193768303770,116934429186262096,

%U 8600448307248025405,683181845460624644202,58290243136791332908001,5316517137637684870655592,516199318599186277653647746

%N Number of unoriented series-parallel networks with n integer valued elements spanning an initial interval of positive integers.

%C See A339282 for additional details.

%e In the following examples, elements in series are juxtaposed and elements in parallel are separated by '|'.

%e a(1) = 1: (1).

%e a(2) = 4: (11), (12), (1|1), (1|2).

%o (PARI) \\ See A339282 for R(n,k).

%o seq(n)={sum(k=1, n, R(n, k)*sum(r=k, n, binomial(r, k)*(-1)^(r-k)) )}

%Y Row sums of A339282.

%Y Cf. A339225, A339229.

%K nonn

%O 1,2

%A _Andrew Howroyd_, Nov 30 2020

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