A388436 Decimal expansion of (1/16) * exp(5*Pi/8) * Pi^(3/4) * 2^(7/8) / Gamma(3/4)^3.

1, 0, 4, 7, 1, 9, 4, 8, 6, 2, 1, 5, 9, 7, 5, 1, 0, 2, 1, 2, 8, 9, 9, 1, 3, 6, 3, 1, 4, 2, 1, 9, 2, 5, 9, 2, 7, 5, 3, 0, 9, 8, 0, 9, 6, 0, 5, 1, 1, 5, 9, 1, 7, 9, 2, 3, 0, 0, 4, 0, 4, 7, 1, 7, 7, 7, 6, 8, 4, 7, 4, 1, 3, 8, 1, 5, 2, 2, 1, 2, 6, 0, 6, 6, 2, 3, 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} A045831(k) / exp(k*Pi).

Example

1.0471948621597510212899136314219259275...

Mathematica

First[RealDigits[(-4*2^(7/8)*Pi^(3/4)*Exp[(5*Pi)/8])/Gamma[-1/4]^3, 10, 100]]

Prog

(PARI) (1/16) * exp(5/8 * Pi) * Pi^(3/4) * 2^(7/8) / gamma(3/4)^3

Crossrefs

Cf. A045831.

Sequence in context: A085508 A198347 A388552 * A371333 A019670 A093436

Adjacent sequences: A388433 A388434 A388435 * A388437 A388438 A388439

Keyword

nonn,cons

Author

Simon Plouffe, Sep 15 2025

Status

approved