A388953 Decimal expansion of 2^(5/8) * Gamma(3/4)^3 / Pi^(3/4).

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

Offset

1,2

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} A274327(k) / exp(k*Pi).

Example

1.2026319272091137156284102254813175595...

Mathematica

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

Prog

(PARI) 2^(5/8) * gamma(3/4)^3 / Pi^(3/4)

Crossrefs

Cf. A274327.

Sequence in context: A320992 A320078 A136426 * A325199 A388351 A392806

Adjacent sequences: A388950 A388951 A388952 * A388954 A388955 A388956

Keyword

nonn,cons

Author

Simon Plouffe, Sep 21 2025

Status

approved