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A053526 Number of bipartite graphs with 3 edges on nodes {1..n}. +0
4
0, 0, 0, 0, 16, 110, 435, 1295, 3220, 7056, 14070, 26070, 45540, 75790, 121121, 187005, 280280, 409360, 584460, 817836, 1124040, 1520190, 2026255, 2665355, 3464076, 4452800, 5666050, 7142850, 8927100, 11067966, 13620285 (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+3n+4)/48.

CROSSREFS

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

Sequence in context: A165558 A155871 A120668 this_sequence A107908 A144449 A000143

Adjacent sequences: A053523 A053524 A053525 this_sequence A053527 A053528 A053529

KEYWORD

nonn

AUTHOR

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

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Last modified December 16 17:18 EST 2009. Contains 170825 sequences.


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