A388919 Decimal expansion of exp(-Pi/8) * Pi^(1/4) * 2^(5/8) / Gamma(3/4).

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

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} A260313(k) / exp(k*Pi).

Example

1.1313588429683392723306478646975067332...

Mathematica

First[RealDigits[(2^(5/8)*Pi^(1/4)*Exp[-1/8*Pi])/Gamma[3/4], 10, 100]]

Prog

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

Crossrefs

Cf. A260313.

Sequence in context: A338329 A234587 A339413 * A114144 A050820 A261869

Adjacent sequences: A388916 A388917 A388918 * A388920 A388921 A388922

Keyword

nonn,cons

Author

Simon Plouffe, Sep 21 2025

Status

approved