A388642 Decimal expansion of exp(-Pi/24) * Pi^(1/4) * 2^(1/8) / Gamma(3/4).

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

Offset

1,3

Links

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

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

Index entries for transcendental numbers.

Formula

Empirical: Equals Sum_{k>=0} A138559(k) / exp(k*Pi).

Example

1.039401663154904488305073848298013159...

Mathematica

First[RealDigits[Exp[-Pi/24]*Pi^(1/4)*2^(1/8)/Gamma[3/4], 10, 100]] (* Paolo Xausa, Sep 19 2025 *)

Prog

(PARI) exp(-1/24 * Pi) * Pi^(1/4) * 2^(1/8) / gamma(3/4)

Crossrefs

Cf. A138559.

Sequence in context: A293634 A125143 A392968 * A200012 A388472 A130701

Adjacent sequences: A388639 A388640 A388641 * A388643 A388644 A388645

Keyword

nonn,cons,changed

Author

Simon Plouffe, Sep 18 2025

Status

approved