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

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, 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, 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

Offset

1,3

Links

Stanislav Sykora, Table of n, a(n) for n = 1..2000

Formula

Equals the square root of A061382.

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

Example

1.07504760349992023872275586024820851177...

Maple

evalf(Pi/exp(1)); # R. J. Mathar, Oct 03 2011

Mathematica

RealDigits[N[Sqrt[Pi/E], 120]] (* Michael De Vlieger, Apr 30 2015 *)

Prog

(PARI) a = sqrt(Pi/exp(1)) \\ Stanislav Sykora, Apr 28 2015

Crossrefs

Cf. A000796, A001113, A061382, A257530.

Sequence in context: A241902 A356023 A113223 * A144923 A184908 A197519

Adjacent sequences: A096411 A096412 A096413 * A096415 A096416 A096417

Keyword

cons,nonn

Author

Mohammad K. Azarian, Aug 07 2004

Status

approved