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%I #10 Jan 02 2014 02:09:56
%S 1,0,1,8,1,6,0,9,4,3,9,7,2,6,8,4,3,7,5,3,4,8,2,3,2,1,5,2,6,3,0,5,5,8,
%T 1,1,9,5,8,7,5,2,3,8,1,5,3,1,3,9,5,7,4,7,3,6,7,4,3,6,4,4,8,3,7,2,8,9,
%U 3,2,3,6,3
%N Decimal expansion of the maximum value reached by the function x-x^2+x^2 log(x) in the interval [0,1].
%C Equals (c-c^2)/2 where c = A101314.
%e 0.1018160943972684375348232152630558119587523815313957473674364483728932...
%t EE = -1/2/ ProductLog[-1, -1/2/Sqrt[E]]; RealDigits[N[(EE - EE^2)/2, 100]][[1]]
%Y Cf. A101314.
%K nonn,cons
%O 0,4
%A _José María Grau Ribas_, Jun 13 2013
%E Offset corrected by _Rick L. Shepherd_, Jan 01 2014
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