A388586 Decimal expansion of (1024 * sqrt(239+169 * sqrt(2)) * exp(Pi / 2) * Gamma(5/4)^6 * sin(Pi / 8)^6) / Pi^(9/2).

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

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} A128711(k) / exp(k*Pi).

Example

1.0864082900337706804643235667836493592...

Mathematica

First[RealDigits[(1024*Sqrt[239 + 169*Sqrt[2]]*Exp[Pi/2]*Gamma[5/4]^6*Sin[Pi/8]^6)/Pi^(9/2), 10, 100]]

Prog

(PARI) (1/256) * exp(Pi / 2) * gamma(5/8)^6*2^(3/4) * (7 * sqrt(2)+10) * (2+2^(1/2))^(1/2) / Pi^(3/2) / gamma(7/8)^6

Crossrefs

Cf. A128711.

Sequence in context: A388439 A298978 A199151 * A380373 A388565 A343275

Adjacent sequences: A388583 A388584 A388585 * A388587 A388588 A388589

Keyword

nonn,cons

Author

Simon Plouffe, Sep 18 2025

Status

approved