A217005 - OEIS

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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.

9, 14, 17, 20, 21, 24, 25, 28, 31, 33, 35, 37, 39, 42, 44, 46, 48, 50, 51

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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.

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(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 A305092

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