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A096414 Decimal expansion of (Pi/e)^(1/2). 3

%I #15 May 03 2015 14:28:33

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

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

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

%N Decimal expansion of (Pi/e)^(1/2).

%H Stanislav Sykora, <a href="/A096414/b096414.txt">Table of n, a(n) for n = 1..2000</a>

%F Equals the square root of A061382.

%F Equals integral[-inf..+inf](exp(-x^2)*cos(k*x)) = sqrt(Pi/exp(k^2/2)), for k = sqrt(2). - _Stanislav Sykora_, Apr 28 2015

%e 1.07504760349992023872275586024820851177...

%p evalf(Pi/exp(1)); # _R. J. Mathar_, Oct 03 2011

%t RealDigits[N[Sqrt[Pi/E], 120]] (* _Michael De Vlieger_, Apr 30 2015 *)

%o (PARI) a = sqrt(Pi/exp(1)) \\ _Stanislav Sykora_, Apr 28 2015

%Y Cf. A000796, A001113, A061382, A257530.

%K cons,nonn

%O 1,3

%A _Mohammad K. Azarian_, Aug 07 2004

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