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A058790 Number of covers of an unlabeled n-set such that every point of the set is covered by exactly 3 subsets of the cover and that intersection of every 3 subsets of the cover contains at most one point. +0
3
1, 3, 12, 66, 445, 4279, 53340, 846254, 16333946, 371976963, 9763321109, 290473143807, 9674133467729, 357177322891321, 14503958827502886, 643502334799711633, 31018731336031551119, 1616523352051185316626, 90689288905913623412837, 5456178840303106057314759, 350830170593891706361540379 (list; graph; listen)
OFFSET

1,2

COMMENT

Cover may include multiple occurrences of a subset. Also n-rowed binary matrices with distinct rows and all row sums 3.

REFERENCES

For labeled case see Goulden I. P., Jackson D. M., Combinatorial Enumeration, John Wiley and Sons, New York, 1983.

LINKS

Vladeta Jovovic, Formula

CROSSREFS

Cf. A050535, A050913, A058783-A058785, A082789, A082790.

Sequence in context: A086836 A074513 A007871 this_sequence A080599 A120575 A123227

Adjacent sequences: A058787 A058788 A058789 this_sequence A058791 A058792 A058793

KEYWORD

nonn

AUTHOR

Vladeta Jovovic (vladeta(AT)eunet.rs), Nov 30 2000

EXTENSIONS

More terms from T. Forbes (anthony.d.forbes(AT)googlemail.com), May 24, 2003

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Last modified November 27 14:50 EST 2009. Contains 167570 sequences.


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