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Performance improvements and bug fixes
Fibonacci, Lucas and custom sequences, lookup, φ convergence, Pisano periods
FibonacciCalc works out Fibonacci numbers exactly, for students, teachers and anyone curious about the sequence and the golden ratio. Five tools on one screen: • Terms: enter n from 0 to 500 and get the exact F(n), every digit included, with a preview of the sequence, the running sum and Fₙ / Fₙ₋₁ against φ • Lookup: paste a number of up to 1,000 digits to see whether it is a Fibonacci number, its position, the Fibonacci numbers just below and above it, and its Zeckendorf decomposition • Lucas & Custom: Lucas numbers or your own two starting values, any term from 0 to 10,000, with its digit count and the sum of the first n + 1 terms • Convergence: watch Fₙ / Fₙ₋₁ close in on φ for up to 500 terms, in a table and in a line chart of the ratio or of the error • Pisano: the period of the Fibonacci numbers modulo any m up to 1,000,000, with the first residues of the cycle • Copy or share any result in full, every digit included • Save named calculations with notes to reopen later