A217059 Van der Waerden numbers w(j+2; t_0,t_1,...,t_{j-1}, 3, 5) with t_0 = t_1 = ... = t_{j-1} = 2.

22, 32, 43, 44, 50, 55, 61, 65, 70

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..8.

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

T. Ahmed, On computation of exact van der Waerden numbers, Integers: Electronic Journal of Combinatorial Number Theory, 11 (2011), A71.

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

Example

w(2;3,5)=22, w(3;2,3,5)=32, w(4;2,2,3,5)=43, and so on...

Crossrefs

Cf. A217005, A217007, A217008, A217058, A217060, A217236, A217237.

Sequence in context: A106555 A106557 A142347 * A121019 A167337 A216798

Adjacent sequences: A217056 A217057 A217058 * A217060 A217061 A217062

Keyword

nonn,more,hard

Author

Tanbir Ahmed, Sep 25 2012

Extensions

a(8) = 70 from Tanbir Ahmed, Mar 11 2013

Status

approved