A388176 Decimal expansion of 512 * exp(-Pi) * Gamma(3/4)^24 / Pi^6.

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

Offset

1,1

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} A006922(k) / exp(k*Pi).

Example

3.0255578590781419776384663151917025960...

Mathematica

First[RealDigits[(512*Exp[-Pi]*Gamma[3/4]^24)/Pi^6, 10, 100]]

Prog

(PARI) 512 * exp(-Pi) * gamma(3/4)^24 / Pi^6

Crossrefs

Cf. A006922.

Sequence in context: A089598 A117139 A159959 * A260211 A255008 A222602

Adjacent sequences: A388173 A388174 A388175 * A388177 A388178 A388179

Keyword

nonn,cons

Author

Simon Plouffe, Sep 15 2025

Status

approved