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%I #25 Jul 01 2023 14:03:00
%S 1,0,8,8,4,6,4,5,5,4,0,4,4,3,9,7,3,9,2,0,2,6,6,0,5,3,9,9,5,4,4,9,0,1,
%T 7,7,9,4,0,7,2,2,4,0,5,8,7,6,5,9,5,8,3,1,2,4,3,9,4,3,1,7,3,5,2,1,8,8,
%U 2,6,0,5,8,4,9,2,2,2,9,4,6,9,1,3,0,4,8,4,3,8,1,8,2,7,3,2,4,0,0,1
%N Decimal expansion of the left Alzer's constant x.
%C The left Alzer's constant x is defined to be the best constant in the left Alzer's inequality: x*abs(sin(cos a) + sin(sin a)) <= abs(cos a + sin a), where a is any real number.
%H Horst Alzer, <a href="https://doi.org/10.4171/EM/139">A trigonometric double-inequality</a>, Elemente der Mathematik 65 (2010), 45-48.
%F x = (sqrt(2)*sin(1/sqrt(2)))^(-1).
%F x = Sum_{k=-oo..oo} (-1)^k/(1 - 2*(Pi*k)^2). - _Bruno Berselli_, Feb 03 2015
%e x = 1.088464554044397392026605399544901779407224058765958312439431735...
%t RealDigits[(Sqrt[2] Sin[1/Sqrt[2]])^(-1), 10, 100][[1]] (* _Bruno Berselli_, Feb 03 2015 *)
%o (PARI) 1/(sqrt(2)*sin(1/sqrt(2))) \\ _Michel Marcus_, Feb 03 2015
%K nonn,cons
%O 1,3
%A _Roman Witula_, Feb 03 2015
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