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

Offset: 0

Author

Tanbir Ahmed, Sep 23 2012

Keywords

• nonn
• more
• hard

Examples

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

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

• 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.

Crossrefs

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

Extensions

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