Regularities of numbers in the fibonachi triangle constructed on the degree transformations of a square three members

: pp. 37 - 44
Lviv Polytechnic National University, Ukraine
Lviv Polytechnic National University
Lviv Polytechnic National University

In this paper, it is shown that the Fibonacci triangle is formed from the elements of power transformations of a quadratic trinomial. It is binary structured by domains of rows of equal lengths, in which the sum of numbers forms a sequence of certain numbers. This sequence coincides with the transformed bisection of the classical sequence of Fibonacci numbers. The paper substantiates Pascal's rule for calculating elements in the lines of a Fibonacci triangle. The general relations of two forgings of numbers in lines of a triangle of Fibonacci for arbitrary values are received

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