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A030179 Quarter-squares squared: A002620^2. +0
4
0, 0, 1, 4, 16, 36, 81, 144, 256, 400, 625, 900, 1296, 1764, 2401, 3136, 4096, 5184, 6561, 8100, 10000, 12100, 14641, 17424, 20736, 24336, 28561, 33124, 38416, 44100, 50625, 57600, 65536, 73984, 83521, 93636, 104976, 116964 (list; graph; listen)
OFFSET

0,4

COMMENT

Conjectured to be crossing number of complete bipartite graph K_{n,n}. Known to be true for n <= 7.

REFERENCES

C. Thomassen, Embeddings and minors, pp. 301-349 of R. L. Graham et al., eds., Handbook of Combinatorics, MIT Press.

LINKS

G. Xiao, Contfrac

E. Weisstein, Zarankiewicz's Conjecture.html

FORMULA

Floor(n^2/4)^2.

CROSSREFS

C. A000241, A002620, A014540.

Sequence in context: A063755 A166721 A085040 this_sequence A005722 A075408 A114268

Adjacent sequences: A030176 A030177 A030178 this_sequence A030180 A030181 A030182

KEYWORD

nonn

AUTHOR

N. J. A. Sloane (njas(AT)research.att.com), Jan 10 2002

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Last modified December 10 12:37 EST 2009. Contains 170569 sequences.


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