A257530 - OEIS

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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

(list; constant; graph; refs; listen; history; text; internal format)

OFFSET

1,2

LINKS

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

Eric Weisstein's World of Mathematics, Cosine Integral, Eq.20

FORMULA

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

EXAMPLE

1.38038844704314297477341524672559127427077246556221079845024685...

MATHEMATICA

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