HP 25 Fibonacci sequence in one program step

10132021, 06:26 PM
Post: #11




RE: HP 25 Fibonacci sequence in one program step
I think you guys have figured out the gist of it.
The solution in the book is to set FIX 0, and fill the stack thusly: T: phi Z: phi Y: phi X: 1/SQRT(5) Where phi is the golden ratio: (SQRT(5)+1)/2. The 1/SQRT(5) term is derived from Binet's formula. Then your HP 25 program need only be: 01 * 02 GTO 00 But that that point, one scarcely needs a program at all. The calculation gets more and more accurate with each successive term, but the FIX 0 rounding should give you a correct integer result for all terms. 

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