A388569 Decimal expansion of ((Pi / 2)^(1/4) * exp(Pi / 24)) / Gamma(3/4).

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

Offset

1,3

Links

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

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

Formula

Empirical: Equals Sum_{k>=0} A121373(k) / exp(k*Pi).

Example

1.0413463245489098337968819357004304045...

Mathematica

First[RealDigits[((Pi/2)^(1/4)*Exp[Pi/24])/Gamma[3/4], 10, 100]]

Prog

(PARI) (1/2) * exp(Pi / 24) * Pi^(1/4) * 2^(3/4) / gamma(3/4)

Crossrefs

Cf. A121373.

Sequence in context: A388566 A362331 A376264 * A388676 A058303 A240935

Adjacent sequences: A388566 A388567 A388568 * A388570 A388571 A388572

Keyword

nonn,cons

Author

Simon Plouffe, Sep 18 2025

Status

approved