A388407 Decimal expansion of exp(-Pi/6) * 2^(7/8) * Gamma(3/4) / Pi^(1/4).

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

Offset

1,7

Links

Paolo Xausa, Table of n, a(n) for n = 1..10000

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

Formula

Empirical: Equals Sum_{k>=0} A035444(k) / exp(k*Pi).

Example

1.0000034873666794496495854034619333524...

Mathematica

First[RealDigits[Exp[-Pi/6]*2^(7/8)*Gamma[3/4]/Pi^(1/4), 10, 100]] (* Paolo Xausa, Sep 17 2025 *)

Prog

(PARI) exp(-1/6 * Pi) * 2^(7/8) * gamma(3/4) / Pi^(1/4)

Crossrefs

Cf. A035444.

Sequence in context: A255703 A255700 A255697 * A019972 A394035 A064406

Adjacent sequences: A388404 A388405 A388406 * A388408 A388409 A388410

Keyword

nonn,cons

Author

Simon Plouffe, Sep 15 2025

Status

approved