Elliptic Divisibility Sequence - General Recursion

General Recursion

A fundamental property of elliptic divisibility sequences is that they satisfy the general recursion relation

W_{n+m}W_{n-m}W_r^2 = W_{n+r}W_{n-r}W_m^2 - W_{m+r}W_{m-r}W_n^2 \quad\text{for all}\quad n > m > r.

(This formula is often applied with r = 1 and W1 = 1.)

Read more about this topic:  Elliptic Divisibility Sequence

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