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Continued fraction for Gamma(1/4).
1

%I #14 Aug 07 2024 22:39:37

%S 3,1,1,1,2,25,4,9,1,1,8,4,1,6,1,1,19,1,1,4,1,1,5,5,7,4,1,7,1,4,2,1,4,

%T 7,1,6,4,1,4,14,1,2,24,3,25,8,3,1,1,1,1,4,1,1,28,1,1,1,12,1,1,23,1,2,

%U 2,1,3,1,1,1,6,1,5,16,8,6,4,8,2,9,3,1,4,75,5,4,5,1,1,3,2,1,1,12,2,1,2,6

%N Continued fraction for Gamma(1/4).

%H Harry J. Smith, <a href="/A068153/b068153.txt">Table of n, a(n) for n = 0..999</a>

%e gamma(1/4) = 3.62560990822190... = 3 + 1/(1 + 1/(1 + 1/(1 + 1/(2 + ...)))). - _Harry J. Smith_, Apr 20 2009

%o (PARI) { default(realprecision, 1080); x=contfrac(gamma(1/4)); for (n=1, 1000, write("b068153.txt", n-1, " ", x[n])); } \\ _Harry J. Smith_, Apr 20 2009

%Y Cf. A068466 (decimal expansion).

%K nonn,cofr,easy

%O 0,1

%A _Benoit Cloitre_, Mar 13 2002

%E Offset changed by _Andrew Howroyd_, Aug 07 2024