%I A113476
%S A113476 8,3,5,6,4,8,8,4,8,2,6,4,7,2,1,0,5,3,3,3,7,1,0,3,4,5,9,7,0,0,1,1,0,7,
%T A113476 6,6,7,8,6,5,2,2,1,2,7,4,8,4,3,3,1,9,4,3,2,3,0,1,8,8,3,1,4,9,6,0,5,0,5,
%U A113476 6,0,1,0,3,2,0,1,6,1,9,9,7,6,3,3,2,9,4,3,8,4,0,2,8,2,6,2,8,5,4,6,6,0,7
%N A113476 Decimal expansion of 1/3*(log(2)+Pi/sqrt(3)).
%C A113476 This number is transcendental from a result of Baker (1968) on linear
forms of algebraic numbers.
%F A113476 int_{0}^{1}dx/(1+x^3)=sum(k>=0, (-1)^k/(3k+1))=1/3*(log(2)+Pi/sqrt(3))=0.8356488482647210533371....
%o A113476 (PARI) 1/3*(log(2)+Pi/sqrt(3))
%Y A113476 Sequence in context: A013665 A110234 A019728 this_sequence A124599 A005601
A104697
%Y A113476 Adjacent sequences: A113473 A113474 A113475 this_sequence A113477 A113478
A113479
%K A113476 cons,nonn
%O A113476 0,1
%A A113476 Benoit Cloitre (benoit7848c(AT)orange.fr), Jan 08 2006
|