A388739 Decimal expansion of (9/4) * Pi^(5/2) / Gamma(3/4)^10.

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

Offset

1,1

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} A204372(k) / exp(k*Pi).

Example

5.1548881328575593576436542965347911591...

Mathematica

First[RealDigits[(9*Pi^(5/2))/(4*Gamma[3/4]^10), 10, 100]]

Prog

(PARI) (9/4) * Pi^(5/2) / gamma(3/4)^10

Crossrefs

Cf. A204372.

Sequence in context: A073226 A309282 A021198 * A275976 A386491 A306577

Adjacent sequences: A388736 A388737 A388738 * A388740 A388741 A388742

Keyword

nonn,cons

Author

Simon Plouffe, Sep 18 2025

Status

approved