A388114 Decimal expansion of (9/2) * Pi^(7/4) / Gamma(3/4)^7.

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

Offset

1,1

Links

Table of n, a(n) for n=1..87.

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

Index entries for transcendental numbers.

Formula

Empirical: Equals Sum_{k>=0} A004008(k) / exp(k*Pi).

Example

8.03966999534712984286573523118283685533568030540405858430383148744851304616....

Mathematica

First[RealDigits[(9*Pi^(7/4))/(2*Gamma[3/4]^7), 10, 100]]

Prog

(PARI) (9/2) * Pi^(7/4) / gamma(3/4)^7

Crossrefs

Cf. A004008.

Sequence in context: A307184 A350811 A154214 * A330448 A354635 A019959

Adjacent sequences: A388111 A388112 A388113 * A388115 A388116 A388117

Keyword

nonn,cons,changed

Author

Simon Plouffe, Sep 15 2025

Status

approved