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def definition def or abbrev

attempt5

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formal statement (Lean)

 115noncomputable def attempt5 : ℝ := phi^(phi + 1/phi) / phi

proof body

Definition body.

 116
 117/-! ## Continued Fraction Connection -/
 118
 119/-- e has a beautiful continued fraction:
 120
 121    e = 2 + 1/(1 + 1/(2 + 1/(1 + 1/(1 + 1/(4 + 1/(1 + 1/(1 + ...)))))))
 122
 123    Pattern: [2; 1, 2, 1, 1, 4, 1, 1, 6, 1, 1, 8, ...]
 124
 125    φ has: [1; 1, 1, 1, 1, ...] (all 1s)
 126
 127    Both are "simple" continued fractions in some sense. -/

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