Fibonacci Sequence Calculator

Fibonacci Sequence: a planned Super Calculator tool. Covers term index n. Stub page: the tool, its formula and a worked example are not published yet.

Fibonacci Sequence Calculator is a planned calculator in the mathematics section of Super Calculator, covering algebra and number theory.

What this calculator will compute

Inputs: term index n, starting values and number of terms to list.

Outputs: nth Fibonacci number, term list, ratio of consecutive terms approaching phi and sum of the first n terms.

Formula, recorded as scope and not yet verified against a primary source: F(n) = F(n-1) + F(n-2) with F(0) = 0 and F(1) = 1. Closed form by Binet’s formula F(n) = (phi^n - psi^n)/sqrt(5), exact only up to about n = 70 in double precision. Fast doubling gives exact BigInt values in logarithmic time.

Status

This page is a stub. The calculator is not built, no figure on this page has been verified against the authority that sets it, and nothing here should be used to make a decision. The page exists so that the site structure is complete and so that articles can link this concept on first mention.

The stub carries noindex, nofollow and is excluded from the sitemap.