Hu Hong
Abstract
Petals were closely related to the Fibonacci numbers.The generating function about Fibonacci numbers F(r,x) and S(r,n,x) were defined,some generating function about Fibonacci numbers were obtained based on Fibonacci numbers and Lucas numbers recursive relations.The inherent law of Fibonacci numbers was revealed.
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Petals were closely related to the Fibonacci numbers.The generating function about Fibonacci numbers F(r,x) and S(r,n,x) were defined,some generating function about Fibonacci numbers were obtained based on Fibonacci numbers and Lucas numbers recursive relations.The inherent law of Fibonacci numbers was revealed.
Key concepts: Fibonacci number, Fibonacci polynomials, Pisano period, Lucas number, Generating function, Petal, Lucas sequence, Combinatorics