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%I #38 Apr 23 2023 02:22:00
%S 0,0,5,2,4,0,7,0,4,6,7,7,7,0,4,7,7,1,1,4,8,5,6,8,9,2,0,0,7,0,1,0,5,8,
%T 9,3,7,5,8,6,8,4,3,4,4,5,5,0,8,3,4,9,2,8,6,8,4,7,6,0,3,3,3,5,5,7,9,2,
%U 0,8,6,4,4,5,2,4,5,4,8,0,3,5,1,7,4,6,6,3,2,7,7,0,3,5,3,0,8
%N Decimal expansion of 4th du Bois-Reymond constant.
%D S. R. Finch, Mathematical Constants, Cambridge, 2003, pp. 237-239.
%H Eric Weisstein's World of Mathematics, <a href="http://mathworld.wolfram.com/duBois-ReymondConstants.html">du Bois-Reymond Constants</a>.
%F 2*Sum_{k>=1} (1 + (x_k)^2)^(-2) = (e^4 - 4*e^2 - 25)/8, where x_k is the k-th root of t = tan t and e = 2.71828... is the natural logarithm base.
%e 0.0052407046777047711...
%t RealDigits[(E^4 - 4E^2 - 25)/8, 10, 100][[1]]
%Y Cf. A138730 (continued fraction expansion).
%Y Cf. A062546 (c2), A224196 (c3), A243108 (c5), A245333 (c6).
%K nonn,cons
%O 0,3
%A _Alonso del Arte_, Feb 24 2012
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