A388497 Decimal expansion of exp(-Pi/12) * 2^(5/8) * Gamma(3/4) / Pi^(1/4).

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

Offset

1,3

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} A101277(k) / exp(k*Pi).

Example

1.0925518207240991591719766556223333674...

Mathematica

First[RealDigits[(2^(5/8)*Exp[-1/12*Pi]*Gamma[3/4])/Pi^(1/4), 10, 100]]

Prog

(PARI) exp(-1/12 * Pi) * 2^(5/8) * gamma(3/4) / Pi^(1/4)

Crossrefs

Cf. A101277.

Sequence in context: A154838 A388923 A389013 * A388755 A388950 A378388

Adjacent sequences: A388494 A388495 A388496 * A388498 A388499 A388500

Keyword

nonn,cons

Author

Simon Plouffe, Sep 17 2025

Status

approved