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A005346 Van der Waerden numbers.
(Formerly M2819)
+0
6
1, 3, 9, 35, 178, 1132 (list; graph; listen)
OFFSET

1,2

COMMENT

Extension (2,6) found by researcher in SAT techniques. - Jonathan Braunhut (jonbraunhut(AT)gmail.com), Jul 29 2007

REFERENCES

N. J. A. Sloane and Simon Plouffe, The Encyclopedia of Integer Sequences, Academic Press, 1995 (includes this sequence).

J. E. Goodman and J. O'Rourke, editors, Handbook of Discrete and Computational Geometry, CRC Press, 1997, p. 159.

M. Lothaire, Combinatorics on Words. Addison-Wesley, Reading, MA, 1983, p. 49.

LINKS

Eric Weisstein's World of Mathematics, Link to a section of The World of Mathematics.

University of Cincinnati, Phd Student finds value for van der Waerden number

P. R. Herwig, M. J. H. Heule, P. M. van Lambalgen, H. van Maaren, A new method to construct lower bounds for Van de Waerden Numbers, Elec. J. Combinat. 14 (1) (2007), #R6.

CROSSREFS

Cf. A121894.

Sequence in context: A107894 A155858 A000834 this_sequence A129094 A059424 A002575

Adjacent sequences: A005343 A005344 A005345 this_sequence A005347 A005348 A005349

KEYWORD

nonn,hard

AUTHOR

N. J. A. Sloane (njas(AT)research.att.com).

EXTENSIONS

a(6) from Jonathan Braunhut (jonbraunhut(AT)gmail.com), Jul 29 2007

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Last modified November 27 22:38 EST 2009. Contains 167602 sequences.


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