%I A113477
%S A113477 2,4,2,8,6,5,0,6,4,7,8,8,7,5,8,1,6,1,1,8,1,9,9,4,1,6,8,9,7,8,0,9,3,1,2,
%T A113477 4,8,5,5,5,0,3,4,8,4,4,8,7,4,9,0,9,2,7,4,4,1,6,6,2,9,4,1,8,8,0,5,4,0,5,
%U A113477 6,8,7,3,6,1,7,6,9,1,7,4,4,5,4,6,7,2,7,2,7,0,8,8,8,3,5,4,4,3,8,3,9,0,7
%N A113477 Decimal expansion of Gamma(1/3)^3/2^(4/3)/Pi.
%C A113477 This number is transcendental from a result of Schneider on elliptic
integrals.
%D A113477 Th. Schneider, Transzendenzuntersuchungen periodischer Funktionen (1934).
%D A113477 Th. Schneider, Arithmetische Untersuchungen elliptischer Integrale (1937).
%F A113477 int_{1}^{infty}dx/sqrt(4x^3-4)=Gamma(1/3)^3/2^(4/3)/Pi=2.428650647887581611819....
%o A113477 (PARI) gamma(1/3)^3/2^(4/3)/Pi
%Y A113477 Cf. A085565.
%Y A113477 Sequence in context: A090988 A095728 A163897 this_sequence A129178 A152874
A065286
%Y A113477 Adjacent sequences: A113474 A113475 A113476 this_sequence A113478 A113479
A113480
%K A113477 cons,nonn
%O A113477 0,1
%A A113477 Benoit Cloitre (benoit7848c(AT)orange.fr), Jan 08 2006
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