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%I #18 Jan 04 2023 11:48:51
%S 3,9,2,6,9,9,0,8,1,6,9,8,7,2,4,1,5,4,8,0,7,8,3,0,4,2,2,9,0,9,9,3,7,8,
%T 6,0,5,2,4,6,4,5,4,3,4,1,8,7,2,3,1,5,9,5,9,2,6,8,1,2,2,8,5,1,6,2,0,9,
%U 3,2,4,7,1,3,9,9,3,8,5,4,6,1,7,9,0,1,6,5,1,2,7,4,7,4,5,5,3,6,6,7,8
%N Integral_{x>=0} (cos(2x) * Product_{n>=1} cos(x/n)) dx.
%C First differs from Pi/8 (A019675) in the 42nd place.
%H D. H. Bailey, J. M. Borwein, V. Kapoor and E. Weisstein, <a href="https://www.davidhbailey.com/dhbpapers/tenproblems.pdf">Ten Problems in Experimental Mathematics</a>
%H Eric Weisstein's World of Mathematics, <a href="https://mathworld.wolfram.com/DefiniteIntegral.html">Definite Integral</a>
%H Eric Weisstein's World of Mathematics, <a href="https://mathworld.wolfram.com/InfiniteCosineProductIntegral.html">Infinite Cosine Product Integral</a>
%e 0.3926990816987...
%Y Cf. A091494, A019675, A190573, A221208.
%K nonn,cons
%O 0,1
%A _Eric W. Weisstein_, Jan 13 2004
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