A388951 Decimal expansion of 4 * exp(-3*Pi/8) * 2^(1/4) * Gamma(3/4)^3 / Pi^(3/4).

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

Offset

1,3

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} A273226(k) / exp(k*Pi).

Example

1.1419979898953055710560474442381452917...

Mathematica

First[RealDigits[(4*2^(1/4)*Exp[(-3*Pi)/8]*Gamma[3/4]^3)/Pi^(3/4), 10, 100]]

Prog

(PARI) 4 * exp(-3/8 * Pi) * 2^(1/4) * gamma(3/4)^3 / Pi^(3/4)

Crossrefs

Cf. A273226.

Sequence in context: A084887 A367025 A067015 * A179193 A158199 A091885

Adjacent sequences: A388948 A388949 A388950 * A388952 A388953 A388954

Keyword

nonn,cons

Author

Simon Plouffe, Sep 21 2025

Status

approved