A388369 Decimal expansion of 256 * exp(-11*Pi/12) * 2^(1/4) * Gamma(3/4)^22 / Pi^(11/2).

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

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} A023020(k) / exp(k*Pi).

Example

2.7589151287006321771021492367046877741...

Mathematica

First[RealDigits[(256*2^(1/4)*Exp[(-11*Pi)/12]*Gamma[3/4]^22)/Pi^(11/2), 10, 100]]

Prog

(PARI) 256 * exp(-11/12 * Pi) * 2^(1/4) * gamma(3/4)^22 / Pi^(11/2)

Crossrefs

Cf. A023020.

Sequence in context: A195450 A079833 A198737 * A010593 A332322 A394089

Adjacent sequences: A388366 A388367 A388368 * A388370 A388371 A388372

Keyword

nonn,cons

Author

Simon Plouffe, Sep 15 2025

Status

approved