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A086056 Decimal expansion of Pi/(2e). 3

%I

%S 5,7,7,8,6,3,6,7,4,8,9,5,4,6,0,8,5,8,9,5,5,0,4,6,5,9,1,6,5,6,3,4,8,1,

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

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

%N Decimal expansion of Pi/(2e).

%C Equals Integral_{x>=0} cos(x)/(x^2+1), or Integral_{x>=0} x*sin(x)/(x^2+1). [_Jean-François Alcover_, Mar 28 2013]

%H V. S. Adamchik, <a href="http://dx.doi.org/10.1007/s11139-005-1868-3">The Multiple Gamma Function and Its Application to Computation of Series</a>, Ramanujan J. vol. 9, no 3. (2005) 271-288.

%H Z. A. Melzak, <a href="http://www.jstor.org/stable/2311360">Infinite products for πe and π/e</a>, Amer. Math. Monthly 68 (1961) 39-41.

%H Eric Weisstein's World of Mathematics, <a href="http://mathworld.wolfram.com/Masser-GramainConstant.html">Masser-Gramain Constant</a>

%H Eric Weisstein's World of Mathematics, <a href="http://mathworld.wolfram.com/Euler-MascheroniConstantApproximations.html">Euler-Mascheroni Constant Approximations</a>

%H Eric Weisstein's World of Mathematics, <a href="http://mathworld.wolfram.com/InfiniteProduct.html">InfiniteProduct</a>

%e 0.577863674895...

%p Digits:=100: evalf(Pi/(2*exp(1))); # _Wesley Ivan Hurt_, Jan 07 2017

%t First@ RealDigits@ N[Pi/(2 E), 120] (* _Michael De Vlieger_, Jan 07 2017 *)

%o (PARI) Pi/(2*exp(1)) \\ _Michel Marcus_, Jan 07 2017

%Y Cf. A216184: Integral_{x>=0} sin(x)/(x^2+1).

%K nonn,cons,easy

%O 0,1

%A _Eric W. Weisstein_, Jul 07 2003

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Last modified October 20 17:28 EDT 2019. Contains 328268 sequences. (Running on oeis4.)