Is an irrational number with non-periodic continued fraction expansion known, for which one can give explicit formulas for the convergents $p_n/q_n$ or at least for the denominators $q_n$ (similar to the convergents $F_{n+2}/F_{n+1}$ of the golden ratio, where $F_n$ is the n-th Fibonacci number)?
2026-03-27 21:20:38.1774646438
Non-periodic continued fraction with explicitly known convergents?
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