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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).


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.'' and Sloane, N. J. A. and Plouffe, S. The Encyclopedia of Integer Sequences. San Diego: Academic Press, 1995.

© 1996-9 Eric W. Weisstein