A388437 Decimal expansion of (1/4) * exp(Pi / 4) * Pi^(3/4) * 2^(3/4) / Gamma(3/4)^3.

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

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} A045834(k) / exp(k*Pi).

Example

1.1825448251755331804362581677394633259...

Mathematica

First[RealDigits[(-16*(2*Pi)^(3/4)*Exp[Pi/4])/Gamma[-1/4]^3, 10, 100]]

Prog

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

Crossrefs

Cf. A045834.

Sequence in context: A388389 A179048 A384144 * A173158 A379339 A020787

Adjacent sequences: A388434 A388435 A388436 * A388438 A388439 A388440

Keyword

nonn,cons

Author

Simon Plouffe, Sep 15 2025

Status

approved