A388678 Decimal expansion of (1/4) * exp(7*Pi/24) * Pi^(3/4) * 2^(1/4) / Gamma(3/4)^3.

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

Offset

0,1

Links

Paolo Xausa, Table of n, a(n) for n = 0..10000

Simon Plouffe, Numbers in the base e^Pi, 2025.

Formula

Empirical: Equals Sum_{k>=0} A160832(k) / exp(k*Pi).

Example

0.95312887979532223835559611657668765187...

Mathematica

First[RealDigits[Exp[7*Pi/24]*(Pi/2)^(3/4)/(2*Gamma[3/4]^3), 10, 100]] (* Paolo Xausa, Sep 19 2025 *)

Prog

(PARI) (1/4) * exp(7/24 * Pi) * Pi^(3/4) * 2^(1/4) / gamma(3/4)^3

Crossrefs

Cf. A160832.

Sequence in context: A388839 A021516 A388386 * A388387 A158270 A154543

Adjacent sequences: A388675 A388676 A388677 * A388679 A388680 A388681

Keyword

nonn,cons

Author

Simon Plouffe, Sep 18 2025

Status

approved