A388793 Decimal expansion of (1/32) * exp(7*Pi/8) * Pi^(7/4) * 2^(5/8) / Gamma(3/4)^7.

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

Offset

1,2

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} A226252(k) / exp(k*Pi).

Example

1.3453918341858397740268103791893160463...

Mathematica

First[RealDigits[(-512*2^(5/8)*Pi^(7/4)*Exp[(7*Pi)/8])/Gamma[-1/4]^7, 10, 100]]

Prog

(PARI) (1/32) * exp(7/8 * Pi) * Pi^(7/4) * 2^(5/8) / gamma(3/4)^7

Crossrefs

Cf. A226252.

Sequence in context: A094758 A283971 A348173 * A100394 A178783 A156671

Adjacent sequences: A388790 A388791 A388792 * A388794 A388795 A388796

Keyword

nonn,cons

Author

Simon Plouffe, Sep 18 2025

Status

approved