4 ms·
How neat! Among its properties not the least interesting is that it has finally convinced me that the initial condition f(0) = f(1) = 1 is not arbitrary but per
by edflsafoiewq 8y ago
How neat! Among its properties not the least interesting is that it has finally convinced me that the initial condition f(0) = f(1) = 1 is not arbitrary but perfectly natural.
- Chinjut 8y agoAh, but actually that part is still a little arbitrary. This technique is fully general; variants describe ANY linear recurrence with ANY initial values. In particular, the Nth value of the Fibonacci-type sequence with 0th value x and 1th value y is xa + yb where a + bϕ = ϕ^N. I just happen to have chosen the weights x and y to both be 1 in that discussion.