A Study on Generalized Tetranacci Numbers: Closed Form Formulas ∑n k=0 xkWk2 of Sums of the ....

The sum formulas n k=0 xkWk2 for the squares of generalised Tetranacci numbers are presented in this paper as closed forms. The sum formulas n k=0 xkWk+1Wk; n k=0 xkWk+2Wk; and n k=0 xkWk+3Wk are also presented: We have summation formulas for the Tetranacci, Tetranacci-Lucas, and other fourth order linear recurrance sequences as special cases.

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