A388581 Decimal expansion of 16*2^(7/16) * ((2+sqrt(2)) / Pi)^(9/4) * Gamma(5/4)^3 * sin(Pi / 8)^3.

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

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} A127786(k) / exp(k*Pi).

Example

1.0904849149815691668675934286987044695...

Mathematica

First[RealDigits[16*2^(7/16)*((2 + Sqrt[2])/Pi)^(9/4)*Gamma[5/4]^3*Sin[Pi/8]^3, 10, 100]]

Prog

(PARI) (1/32) * 2^(7/16) * gamma(5/8)^3 * (2+2^(1/2))^(3/2) * (2^(1/2) * (2+2^(1/2))^(1/2))^(3/2) / gamma(7/8)^3 / Pi^(3/4)

Crossrefs

Cf. A127786.

Sequence in context: A021088 A021529 A196398 * A388601 A388400 A388391

Adjacent sequences: A388578 A388579 A388580 * A388582 A388583 A388584

Keyword

nonn,cons,changed

Author

Simon Plouffe, Sep 18 2025

Status

approved