A217008 - OEIS

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A217008

Van der Waerden numbers w(j+3; t_0,t_1,...,t_{j-1}, 3, 3, 3) with t_0 = t_1 = ... = t_{j-1} = 2.

27, 40, 41, 42, 45, 49, 52

(list; graph; refs; listen; history; text; internal format)

OFFSET

0,1

REFERENCES

T. C. Brown, Some new van der Waerden numbers (preliminary report), Notices American Math. Society, 21 (1974), A-432.

V. Chvatal, Some unknown van der Waerden numbers, Combinatorial Structures and their Applications (R. Guy et al., eds.), Gordon and Breach, New York, 1970.

LINKS

Table of n, a(n) for n=0..6.

T. Ahmed, Some new van der Waerden numbers and some van der Waerden-type numbers, Integers, 9 (2009), A06, 65-76.

T. Ahmed, Some more Van der Waerden numbers, J. Int. Seq. 16 (2013) 13.4.4

B. Landman, A. Robertson, and C. Culver, Some new exact van der Waerden numbers, Integers, 5(2) (2005), A10.

EXAMPLE

w(3;3,3,3)=27, w(4;2,3,3,3)=40, w(5;2,2,3,3,3)=41, and so on...

CROSSREFS

Cf. A217005, A217007, A217058, A217059, A217060, A217236, A217237.

Sequence in context: A369251 A369252 A117103 * A372443 A355903 A124940

Adjacent sequences: A217005 A217006 A217007 * A217009 A217010 A217011

KEYWORD

nonn,more,hard

AUTHOR

Tanbir Ahmed, Sep 23 2012

EXTENSIONS

a(6)=52 added by Tanbir Ahmed, Dec 07 2012

STATUS

approved