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van der Waerden Number

The threshold numbers proven to exist by van der Waerden's Theorem. The first few are 1, 3, 9, 35, 178, ... (Sloane's A005346).


References

Goodman, J. E. and O'Rourke, J. (Eds.). Handbook of Discrete & Computational Geometry. Boca Raton, FL: CRC Press, p. 159, 1997.

Honsberger, R. More Mathematical Morsels. Washington, DC: Math. Assoc. Amer., p. 29, 1991.

Sloane, N. J. A. Sequence A005346/M2819 in ``An On-Line Version of the Encyclopedia of Integer Sequences.'' http://www.research.att.com/~njas/sequences/eisonline.html and Sloane, N. J. A. and Plouffe, S. The Encyclopedia of Integer Sequences. San Diego: Academic Press, 1995.




© 1996-9 Eric W. Weisstein
1999-05-26