From the study of phyllotaxis and the related Fibonacci sequence ( 1, 1, 2, 3, 5, 8, 13, 21, 34, 55, 89, 144, . . . ), Hambidge says that " a much closer representation would be obtained by a substitute series such as 118, 191, 309, 500, 809, 1309, 2118, 3427, 5545, 8972, 14517, etc . One term of this series divided into the other equals 1.6180, which is the ratio needed to explain the plant design system . " This substitute sequence is a generalization of the Fibonacci sequence that chooses 118 and 191 as the beginning numbers to generate the rest.
