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erdos_267.variants.fibonacci_inverse_sum

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The sum $\sum_n \frac 1 {F_{n}}$ itself was proved to be irrational by André-Jeannin. Ref: André-Jeannin, Richard, _Irrationalité de la somme des inverses de certaines suites récurrentes_.

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Lean 4 Statement
theorem erdos_267.variants.fibonacci_inverse_sum :
    Irrational <| ∑' k, 1 / (Nat.fib k)
ID: ErdosProblems__267__erdos_267.variants.fibonacci_inverse_sum
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