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A350792
Number of digraphs on n labeled nodes with a global source (or sink).
6
1, 2, 24, 1216, 232960, 164069376, 428074336256, 4220285062479872, 160166476125189439488, 23705806454651474422005760, 13794322751716126282614505996288, 31714534285699906476309208596247216128, 288989543377657933541050197425959169851129856
OFFSET
1,2
COMMENTS
A global sink is a node that has out-degree zero and to which all other nodes have a directed path.
LINKS
FORMULA
a(n) = n*2^((n-1)^2) - Sum_{k=1..n-1} binomial(n,k)*2^((n-2)*(n-k))*a(k).
PROG
(PARI) InitiallyV(15) \\ See A350793 for program code.
(PARI) seq(n)={my(v=vector(n)); for(n=1, n, v[n] = n*2^((n-1)^2) - sum(k=1, n-1, binomial(n, k)*2^((n-2)*(n-k))*v[k])); v}
CROSSREFS
The unlabeled version is A350360.
Row sums of A350793.
Sequence in context: A354557 A137887 A232310 * A028365 A094050 A000479
KEYWORD
nonn
AUTHOR
Andrew Howroyd, Jan 16 2022
STATUS
approved