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Decimal expansion of the continued fraction 1/(1 + 2/(2 + 3/(3 + 5/(5 + 7/(7 + ... + prime(k)/(prime(k) + ...)))))).
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%I #8 Feb 16 2025 08:33:59

%S 5,8,1,5,2,5,0,0,4,5,9,2,2,1,4,6,5,4,3,9,9,1,5,1,7,0,4,8,1,8,0,0,4,4,

%T 6,1,9,5,5,8,6,7,5,4,0,4,9,7,2,4,6,4,4,1,1,0,0,4,7,9,4,2,3,2,6,0,9,6,

%U 7,4,6,4,5,4,1,9,6,8,6,1,4,1,2,0,2,7,6,1,4,5,2,4,3,4,0,5,4,6,9,3

%N Decimal expansion of the continued fraction 1/(1 + 2/(2 + 3/(3 + 5/(5 + 7/(7 + ... + prime(k)/(prime(k) + ...)))))).

%H Eric Weisstein's World of Mathematics, <a href="https://mathworld.wolfram.com/GeneralizedContinuedFraction.html">Generalized Continued Fraction</a>

%e 0.58152500459221465439915170481800446195586754...

%Y Cf. A000040, A064442, A068996, A073333, A084255, A085825, A152062, A191504, A191815, A233588, A247856.

%K nonn,cons,changed

%O 0,1

%A _Ilya Gutkovskiy_, Apr 28 2020