A388090 Decimal expansion of (1/8) * exp(7*Pi/24) * Pi^(7/4) * 2^(3/8) / Gamma(3/4)^7.

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

Offset

0,1

Links

Table of n, a(n) for n=0..86.

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

Formula

Empirical: Equals Sum_{k>=0} A000730(k) / exp(k*Pi).

Example

0.72404419079064411620167339982767317134...

Mathematica

First[RealDigits[(Pi^(7/4)*Exp[(7*Pi)/24])/(4*2^(5/8)*Gamma[3/4]^7), 10, 100]]

Prog

(PARI) 1/8 * exp(7/24 * Pi) * Pi^(7/4) * 2^(3/8) / gamma(3/4)^7

Crossrefs

Cf. A000730.

Sequence in context: A233929 A241427 A197761 * A199269 A021584 A021062

Adjacent sequences: A388087 A388088 A388089 * A388091 A388092 A388093

Keyword

nonn,cons

Author

Simon Plouffe, Sep 14 2025

Status

approved