A388628 Decimal expansion of (64 * sqrt(20+14 * sqrt(2)) * Gamma(5/4)^6) / Pi^(9/2).

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

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} A136028(k) / exp(k*Pi).

Example

1.2967852853151984329303931791739204694...

Mathematica

First[RealDigits[(64*Sqrt[20 + 14*Sqrt[2]]*Gamma[5/4]^6)/Pi^(9/2), 10, 100]]

Prog

(PARI) -(1/64) * gamma(5/8)^6 * (7 * sqrt(2)+10) * sqrt(2) * (2+2^(1/2))^(1/2) / Pi^(3/2) / gamma(7/8)^6 / (2^(1/2)-2)

Crossrefs

Cf. A136028.

Sequence in context: A146481 A233766 A021341 * A011247 A201736 A377696

Adjacent sequences: A388625 A388626 A388627 * A388629 A388630 A388631

Keyword

nonn,cons

Author

Simon Plouffe, Sep 18 2025

Status

approved