A388361 Decimal expansion of 32 * exp(-7*Pi/12) * 2^(1/4) * Gamma(3/4)^14 / Pi^(7/2).

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

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} A023012(k) / exp(k*Pi).

Example

1.9075233073783113843013527323586392887...

Mathematica

First[RealDigits[(32*2^(1/4)*Exp[(-7*Pi)/12]*Gamma[3/4]^14)/Pi^(7/2), 10, 100]]

Prog

(PARI) 32 * exp(-7/12 * Pi) * 2^(1/4) * gamma(3/4)^14 / Pi^(7/2)

Crossrefs

Cf. A023012.

Sequence in context: A390151 A385960 A381653 * A309823 A382585 A196549

Adjacent sequences: A388358 A388359 A388360 * A388362 A388363 A388364

Keyword

nonn,cons

Author

Simon Plouffe, Sep 15 2025

Status

approved