A388635 Decimal expansion of Pi^(3/2) / (sqrt(2) * Gamma(3/4)^6).

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

Offset

1,3

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} A138504(k) / exp(k*Pi).

Example

1.1628053956414640119507824819242460032...

Mathematica

First[RealDigits[Pi^(3/2)/(Sqrt[2]*Gamma[3/4]^6), 10, 100]]

Prog

(PARI) (1/2) * Pi^(3/2) * sqrt(2) / gamma(3/4)^6

Crossrefs

Cf. A138504.

Sequence in context: A379536 A270138 A177889 * A086744 A242301 A256129

Adjacent sequences: A388632 A388633 A388634 * A388636 A388637 A388638

Keyword

nonn,cons

Author

Simon Plouffe, Sep 18 2025

Status

approved