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

2021;
: pp. 37 - 44
1
Lviv Polytechnic National University, Ukraine
2
Lviv Polytechnic National University
3
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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