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A057279 Triangle T(n,k) of number of digraphs with a quasi-source on n unlabeled nodes and with k arcs, k = 0..n*(n-1). 5

%I #15 May 30 2022 18:03:18

%S 1,0,1,1,0,0,3,4,4,1,1,0,0,0,7,21,37,47,38,27,13,5,1,1,0,0,0,0,18,90,

%T 309,661,1125,1477,1665,1489,1154,707,379,154,61,16,5,1,1,0,0,0,0,0,

%U 44,374,1981,7107,19166,41867,77194,122918,170308,206980,220768,207301,171008,124110,78813,43862,21209,8951,3242,1043,288,76,17,5,1,1

%N Triangle T(n,k) of number of digraphs with a quasi-source on n unlabeled nodes and with k arcs, k = 0..n*(n-1).

%H Sean A. Irvine, <a href="https://github.com/archmageirvine/joeis/blob/master/src/irvine/oeis/a234/A234007.java">Java program</a> (github)

%H V. Jovovic and G. Kilibarda, <a href="http://dx.doi.org/10.1016/S0012-365X(00)00112-6">Enumeration of labeled quasi-initially connected digraphs</a>, Discrete Math., 224 (2000), 151-163.

%e Table starts:

%e [1],

%e [0,1,1],

%e [0,0,3,4,4,1,1],

%e [0,0,0,7,21,37,47,38,27,13,5,1,1],

%e ...

%e Number of digraphs with a quasi-source on 3 unlabeled nodes is 13=3+4+4+1+1.

%Y Row sums give A049512. Cf. A057270-A057278.

%K nonn,tabf

%O 1,7

%A _Vladeta Jovovic_, Goran Kilibarda, Sep 14 2000

%E More terms from _Sean A. Irvine_, May 30 2022

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Last modified April 25 03:15 EDT 2024. Contains 371964 sequences. (Running on oeis4.)