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A217005 Van der Waerden numbers w(j+2; t_0,t_1,...,t_{j-1}, 3, 3) with t_0 = t_1 = ... = t_{j-1} = 2. 7
9, 14, 17, 20, 21, 24, 25, 28, 31, 33, 35, 37, 39, 42, 44, 46, 48, 50, 51 (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..18.

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

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

EXAMPLE

w(2;3,3)=9, w(3;2,3,3)=14, w(4;2,2,3,3)=17, and so on...

CROSSREFS

Cf. A171081, A217007, A217008, A217058, A217059, A217060, A217236, A217237.

Sequence in context: A180868 A036266 A087722 * A103409 A011767 A205690

Adjacent sequences:  A217002 A217003 A217004 * A217006 A217007 A217008

KEYWORD

nonn,more,hard

AUTHOR

Tanbir Ahmed, Sep 22 2012

EXTENSIONS

a(17)=50 and a(18)=51 added by Tanbir Ahmed, Dec 07 2012

STATUS

approved

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Last modified September 25 18:20 EDT 2017. Contains 292499 sequences.