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A078110 Decimal expansion of K210. 0

%I #6 Mar 30 2012 18:39:11

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

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

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

%N Decimal expansion of K210.

%C Related to modular functions and approximations to Pi : K210 is one of the most famous singular value calculated by Ramanujan. -2/sqrt(210)*log(K210/4) = 3.14159265358979323847198.. agrees with Pi to 20 decimal places

%D L. Berggren, J. Borwein and P. Borwein, "Pi a source Book", second edition, Springer, p. 592

%F K210=(sqrt(2)-1)^2*(2-sqrt(3))*(sqrt(7)-sqrt(6))^2*(8-3*sqrt(7))*(sqrt(10)-3)^2*(sqrt(15)-sqrt(14))*(4-sqrt(15))^2*(6-sqrt(35))

%e 0.0000000005202524184706450480489....

%K cons,nonn

%O 0,10

%A _Benoit Cloitre_, Dec 03 2002

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