A388629 Decimal expansion of exp(-Pi/3) * 2^(7/4) * Gamma(3/4) / Pi^(1/4).

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

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} A137828(k) / exp(k*Pi).

Example

1.0864423888196409763757290909376034385...

Mathematica

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

Prog

(PARI) exp(-1/3 * Pi) * 2^(7/4) * gamma(3/4) / Pi^(1/4)

Crossrefs

Cf. A137828.

Sequence in context: A261027 A388553 A388781 * A296041 A008569 A376883

Adjacent sequences: A388626 A388627 A388628 * A388630 A388631 A388632

Keyword

nonn,cons

Author

Simon Plouffe, Sep 18 2025

Status

approved