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