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A053527 Number of bipartite graphs with 4 edges on nodes {1..n}. +0
3
0, 0, 0, 0, 3, 140, 1125, 5355, 19075, 56133, 143955, 332475, 706860, 1404975, 2640638, 4733820, 8149050, 13543390, 21825450, 34227018, 52388985, 78463350, 115233195, 166252625, 236008773, 330108075, 455489125, 620664525, 835994250 (list; graph; listen)
OFFSET

0,5

REFERENCES

R. P. Stanley, Enumerative Combinatorics, Cambridge, Vol. 2, 1999; see Problem 5.5.

FORMULA

(n-3)(n-2)(n-1)n(n+2)(n^3-5n-36)/384.

CROSSREFS

Cf. A000217 (1 edge), A050534 (2 edges), A053526 (3 edges).

Sequence in context: A139956 A016067 A070322 this_sequence A152504 A035331 A050819

Adjacent sequences: A053524 A053525 A053526 this_sequence A053528 A053529 A053530

KEYWORD

nonn

AUTHOR

N. J. A. Sloane (njas(AT)research.att.com), Jan 16 2000

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Last modified November 25 08:46 EST 2009. Contains 167481 sequences.


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