A388600 Decimal expansion of exp(-Pi/24) * Pi^(1/4) * 2^(1/4) / Gamma(3/4).

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

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} A132969(k) / exp(k*Pi).

Example

1.1334755510155527756244921405468719799...

Mathematica

First[RealDigits[((2*Pi)^(1/4)*Exp[-1/24*Pi])/Gamma[3/4], 10, 100]]

Prog

(PARI) exp(-1/24 * Pi) * Pi^(1/4) * 2^(1/4) / gamma(3/4)

Crossrefs

Cf. A132969.

Sequence in context: A216626 A319526 A388869 * A388632 A258835 A007448

Adjacent sequences: A388597 A388598 A388599 * A388601 A388602 A388603

Keyword

nonn,cons

Author

Simon Plouffe, Sep 18 2025

Status

approved