A388804 Decimal expansion of (1/32) * exp(3*Pi/4) * Pi^2*2^(3/4) / Gamma(3/4)^8.

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

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} A227317(k) / exp(k*Pi).

Example

1.0763020447275137115059405122443060279...

Mathematica

First[RealDigits[(2048*2^(3/4)*Pi^2*Exp[(3*Pi)/4])/Gamma[-1/4]^8, 10, 100]]

Prog

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

Crossrefs

Cf. A227317.

Sequence in context: A073011 A396372 A086312 * A370746 A214280 A388895

Adjacent sequences: A388801 A388802 A388803 * A388805 A388806 A388807

Keyword

nonn,cons

Author

Simon Plouffe, Sep 18 2025

Status

approved