A388952 Decimal expansion of 8 * exp(-Pi / 2) * Gamma(3/4)^4 / Pi.

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

Offset

1,3

Links

Table of n, a(n) for n=1..87.

Simon Plouffe, Numbers in the base e^Pi, 2025.

Index entries for transcendental numbers.

Formula

Empirical: Equals Sum_{k>=0} A273228(k) / exp(k*Pi).

Example

1.19367780650840959488208437193766849916757386676914048349039467726371991925....

Mathematica

First[RealDigits[(8*Exp[-1/2*Pi]*Gamma[3/4]^4)/Pi, 10, 100]]

Prog

(PARI) 8 * exp(-Pi / 2) * gamma(3/4)^4 / Pi

Crossrefs

Cf. A273228.

Sequence in context: A256854 A388246 A182552 * A021985 A309602 A197832

Adjacent sequences: A388949 A388950 A388951 * A388953 A388954 A388955

Keyword

nonn,cons,changed

Author

Simon Plouffe, Sep 21 2025

Status

approved