A096414 -id:A096414 - cp's OEIS frontend

A257530 Decimal expansion of sqrt(Pi/sqrt(e)).

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

Offset: 1

Stanislav Sykora, Apr 28 2015

			1.38038844704314297477341524672559127427077246556221079845024685...

Stanislav Sykora, Table of n, a(n) for n = 1..2000
Eric Weisstein's World of Mathematics, Cosine Integral, Eq.20

Cf. A000796, A001113, A096414.

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

PARI
```
a = sqrt(Pi/sqrt(exp(1)))
```

Equals integral[-inf..+inf](exp(-x^2)*cos(k*x)) = sqrt(Pi/exp(k^2/2)), for k = 1.

A096416 Decimal expansion of (Pi/e)^(1/4).

Original entry on oeis.org

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

Offset: 1

Mohammad K. Azarian, Aug 07 2004

			1.03684502385839719027416796694100...

Cf. A000796, A001113, A061382.

evalf(root[4](Pi/exp(1)) ; # R. J. Mathar, Oct 03 2011

equals the square root of A096414.

cp's OEIS Frontend

A257530 Decimal expansion of sqrt(Pi/sqrt(e)).

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