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A123554 Triangle read by rows: T(n,k) = number of labeled loopless digraphs with n nodes and k arcs (n >= 1, 0 <= k <= n*(n-1)). +0
1
1, 1, 2, 1, 1, 6, 15, 20, 15, 6, 1, 1, 12, 66, 220, 495, 792, 924, 792, 495, 220, 66, 12, 1, 1, 20, 190, 1140, 4845, 15504, 38760, 77520, 125970, 167960, 184756, 167960, 125970, 77520, 38760, 15504, 4845, 1140, 190, 20, 1, 1, 30, 435, 4060, 27405, 142506, 593775 (list; graph; listen)
OFFSET

1,3

REFERENCES

J. L. Gross and J. Yellen, eds., Handbook of Graph Theory, CRC Press, 2004; p. 521.

EXAMPLE

Triangle begins:

1

1 2 1

1 6 15 20 15 6 1

1 12 66 220 495 792 924 792 495 220 66 12 1

CROSSREFS

Cf. A052283 (unlabeled analogue).

Sequence in context: A165891 A039763 A094262 this_sequence A025270 A144510 A143670

Adjacent sequences: A123551 A123552 A123553 this_sequence A123555 A123556 A123557

KEYWORD

nonn,tabf

AUTHOR

N. J. A. Sloane (njas(AT)research.att.com), Nov 15 2006

EXTENSIONS

More terms from Vladeta Jovovic (vladeta(AT)eunet.rs), Nov 15 2006

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Last modified November 29 12:46 EST 2009. Contains 167659 sequences.


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