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. SequenceA005346/M2819in ``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.

• Poincaré Hyperbolic Disk
• Poincaré Manifold
• Poincaré Metric
• Poincaré Separation Theorem
• Poincaré's Holomorphic Lemma
• Poincaré's Lemma
• Poinsot Solid
• Poinsot's Spirals
• Point
• Point at Infinity
• Point Estimator
• Point Groups
• Point-Line Distance--2-D
• Point-Line Distance--3-D
• Point Picking
• Point-Plane Distance
• Point-Point Distance--1-D
• Point-Point Distance--2-D
• Point-Point Distance--3-D
• Point Probability
• Point-Quadratic Distance
• Point-Set Topology
• Points Problem
• Pointwise Dimension
• Poisson Bracket