A388485 Decimal expansion of (1/4) * exp(Pi) * Pi^4 / Gamma(11/12)^8 / Gamma(7/12)^8.

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

Offset

2,2

Links

Table of n, a(n) for n=2..88.

Simon Plouffe, Numbers in the base e^Pi, 2025.

Formula

Empirical: Equals Sum_{k>=0} A096961(k) / exp(k*Pi).

Equals 9 * exp(Pi) * Gamma(1/4)^16 / (16384 * Pi^12). - Vaclav Kotesovec, Jan 08 2026

Example

12.260202752102648586343307603118638179...

Mathematica

First[RealDigits[(Pi^4*Exp[Pi])/(4*Gamma[7/12]^8*Gamma[11/12]^8), 10, 100]]
RealDigits[9*E^Pi*Gamma[1/4]^16 / (16384*Pi^12), 10, 100][[1]] (* Vaclav Kotesovec, Jan 08 2026 *)

Prog

(PARI) (1/4) * exp(Pi) * Pi^4 / gamma(11/12)^8 / gamma(7/12)^8

Crossrefs

Cf. A096961.

Sequence in context: A379906 A270546 A163119 * A091085 A011144 A127649

Adjacent sequences: A388482 A388483 A388484 * A388486 A388487 A388488

Keyword

nonn,cons

Author

Simon Plouffe, Sep 17 2025

Status

approved