A388438 Decimal expansion of (45/32) * Pi^(7/2) / Gamma(3/4)^14.

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

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} A047626(k) / exp(k*Pi).

Example

4.4886315023670082492523563771748662278...

Mathematica

First[RealDigits[(45*Pi^(7/2))/(32*Gamma[3/4]^14), 10, 100]]

Prog

(PARI) (45/32) * Pi^(7/2) / gamma(3/4)^14

Crossrefs

Cf. A047626.

Sequence in context: A289091 A019674 A264606 * A016712 A346062 A333167

Adjacent sequences: A388435 A388436 A388437 * A388439 A388440 A388441

Keyword

nonn,cons

Author

Simon Plouffe, Sep 15 2025

Status

approved