On the ramsey numbers N(3,3,…3;2)

The main results of this paper are N(3,3,3,3;2) > 50 andf(k+1)≥3 f(k)+f(k?2), where $\text{f(k) = N}\text{3,3,…;2)}\text{k}\text{times}\text{?1 for k ≥ 3}$.