A388483 Decimal expansion of (1/2) * exp(Pi / 12) * Pi^(1/4) * 2^(5/8) / Gamma(3/4).

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

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} A096920(k) / exp(k*Pi).

Example

1.0884674689522394348884374102520931316...

Mathematica

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

Prog

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

Crossrefs

Cf. A096920.

Sequence in context: A388192 A254615 A388763 * A388884 A388598 A388453

Adjacent sequences: A388480 A388481 A388482 * A388484 A388485 A388486

Keyword

nonn,cons

Author

Simon Plouffe, Sep 17 2025

Status

approved