植物叶序中的Fibonacci数与Lucas数的反演

Reversion of Fibonacci Numbers and Lucas Numbers in Plant Phyllotaxis

植物的叶序与Fibonacci数和Lucas数有着密切关系,根据Fibonacci数与Lucas数的递推关系,利用母函数的方法,研究Fibonacci数与Lucas数的反演关系,揭示了植物叶序的内在现象。

Plant phyllotaxis is closely related to Fibonacci numbers and Lueas numbers. Based on the recursive relations between Fibenaeei numbers and Lueas numbers, some reversible relations between Fibenacci numbers and Lucas numbers were studied by using generating function. The inherent phenomenon of plant phyllotaxis was revealed.