kk-nacci sequences in some special groups of finite order

In this paper, we obtain the period of kk-nacci sequences in the semidihedral groups SD2mSD2m and in the ordinary nonabelian group having the presentations W2m=〈a,b:a2m−1=b2=1,ab=a1+2m−2〉W2m=〈a,b:a2m−1=b2=1,ab=a1+2m−2〉 of order 2m,m≥42m,m≥4. It is important to note that the Fibonacci length depends on the chosen generating nn-tuple for a group.