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A052283 Triangle read by rows giving numbers of directed graphs by numbers of nodes and arcs. +0
3
1, 1, 1, 1, 1, 1, 4, 4, 4, 1, 1, 1, 1, 5, 13, 27, 38, 48, 38, 27, 13, 5, 1, 1, 1, 1, 5, 16, 61, 154, 379, 707, 1155, 1490, 1670, 1490, 1155, 707, 379, 154, 61, 16, 5, 1, 1, 1, 1, 5, 17, 76, 288, 1043, 3242, 8951, 21209, 43863, 78814, 124115, 171024, 207362, 220922 (list; graph; listen)
OFFSET

1,7

REFERENCES

F. Harary and E. M. Palmer, Graphical Enumeration, Academic Press, NY, 1973, p. 247.

J. L. Gross and J. Yellen, eds., Handbook of Graph Theory, CRC Press, 2004; p. 522.

LINKS

Eric Weisstein's World of Mathematics, Simple Directed Graph

EXAMPLE

[1],[1,1,1],[1,1,4,4,4,1,1],[1,1,5,13,27,38,48,38,27,13,5,1,1]; (the last batch giving the numbers of directed graphs with 4 nodes and from 0 to 12 arcs).

CROSSREFS

Cf. A000273, A070166.

Sequence in context: A066602 A073816 A084452 this_sequence A133889 A117683 A109610

Adjacent sequences: A052280 A052281 A052282 this_sequence A052284 A052285 A052286

KEYWORD

nonn,tabf

AUTHOR

Vladeta Jovovic (vladeta(AT)Eunet.yu), Feb 07 2000

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Last modified July 25 07:41 EDT 2008. Contains 142293 sequences.


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