journal6 ›› 2007, Vol. 28 ›› Issue (3): 19-24.

• Mathematics • Previous Articles     Next Articles

Some Results on Van Der Waerden Number


  1. (College of Sciences,shanghai University,Shanghai 200444,China)
  • Online:2007-05-25 Published:2012-08-27

Abstract: In this paper,we translate the van der Waerden number problem into the van der Waerden number problem on circle,and we find the equivalent form Sp(k) of its inequality.At the same time,we also obtain formula  of local system of inequality,especially we obtain the lower and upper bounds of Sp(k).

Key words: van der Waerden number W(n, n);Lucas-Fibonacci sequence;lower bound;upper bound

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