Papers › An explicit formula generating the non-Fibonacci numbers

An explicit formula generating the non-Fibonacci numbers

5 May 2011arXiv:1105.1127links table onlyarchive 2025-07-28

Bakir Farhi

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We show among others that the formula: ⌊n + log_Φ{√(5)(log_Φ(√(5)n) + n) -5 + 3/n} - 2 ⌋(n ≥2), (where Φ denotes the golden ratio and ⌊⌋ denotes the integer part) generates the non-Fibonacci numbers.

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