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Home › Math & Conversions › Core Math & Algebra › Fibonacci number Fibonacci Number Calculator Compute the n-th Fibonacci number exactly, list the sequence up to n, and see how fast the ratio F n+1 /F n approaches the golden ratio. Core Math & Algebra Interactive Fibonacci number tool Enter an index \(n\) and this tool will compute the Fibonacci number \(F_n\) using an efficient fast-doubling algorithm with exact big-integer arithmetic. You can also display the sequence from \(F_0\) up to \(F_n\) and, for moderate \(n\), the ratio \(F_{n+1}
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F_n\). Index \(n\) (zero-based) Non-negative integer, \(0 \le n \le 10000\). We use \(F_0 = 0, F_1 = 1\). Output focus Main value only Value + sequence up to n Value + golden ratio approximation All details (sequence + ratio) Sequence listing is automatically trimmed for very large \(n\). Max digits to display 200 digits 500 digits 2000 digits Show full number (may be long) The calculator always uses the full exact value; this only affects what is shown. Additional options Show neighboring values \(F_{n-1}\) and \(F_{n+1}\) when available Limit ratio computation to \(n \le 70\) for high numeric reliability Compute \(F_n\) Clear Example: \(n = 10\) Example: \(n = 20\) Example: \(n = 100\) Results Main value \(F_n\) Neighboring terms Sequence from \(F_0\) to \(F_n\) Ratio \(F_{n+1}

F_n\). Index \(n\) (zero-based) Non-negative integer, \(0 \le n \le 10000\). We use \(F_0 = 0, F_1 = 1\). Output focus Main value only Value + sequence up to n Value + golden ratio approximation All details (sequence + ratio) Sequence listing is automatically trimmed for very large \(n\). Max digits to display 200 digits 500 digits 2000 digits Show full number (may be long) The calculator always uses the full exact value; this only affects what is shown. Additional options Show neighboring values \(F_{n-1}\) and \(F_{n+1}\) when available Limit ratio computation to \(n \le 70\) for high numeric reliability Compute \(F_n\) Clear Example: \(n = 10\) Example: \(n = 20\) Example: \(n = 100\) Results Main value \(F_n\) Neighboring terms Sequence from \(F_0\) to \(F_n\) Ratio \(F_{n+1}

Calculators in F_n\). Index \(n\) (zero-based) Non-negative integer, \(0 \le n \le 10000\). We use \(F_0 = 0, F_1 = 1\). Output focus Main value only Value + sequence up to n Value + golden ratio approximation All details (sequence + ratio) Sequence listing is automatically trimmed for very large \(n\). Max digits to display 200 digits 500 digits 2000 digits Show full number (may be long) The calculator always uses the full exact value; this only affects what is shown. Additional options Show neighboring values \(F_{n-1}\) and \(F_{n+1}\) when available Limit ratio computation to \(n \le 70\) for high numeric reliability Compute \(F_n\) Clear Example: \(n = 10\) Example: \(n = 20\) Example: \(n = 100\) Results Main value \(F_n\) Neighboring terms Sequence from \(F_0\) to \(F_n\) Ratio \(F_{n+1}.

Fibonacci Number Calculator

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