A388354 Decimal expansion of 4 * exp(-7*Pi/24) * 2^(5/8) * Gamma(3/4)^7 / Pi^(7/4).

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

Offset

1,2

Links

Table of n, a(n) for n=1..87.

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

Index entries for transcendental numbers.

Formula

Empirical: Equals Sum_{k>=0} A023006(k) / exp(k*Pi).

Example

1.38113116950502256931046964766808878288514095407460740928569695805802130358....

Mathematica

First[RealDigits[(4*2^(5/8)*Exp[(-7*Pi)/24]*Gamma[3/4]^7)/Pi^(7/4), 10, 100]]

Prog

(PARI) 4 * exp(-7/24 * Pi) * 2^(5/8) * gamma(3/4)^7 / Pi^(7/4)

Crossrefs

Cf. A023006.

Sequence in context: A140272 A388100 A210962 * A021728 A381393 A242710

Adjacent sequences: A388351 A388352 A388353 * A388355 A388356 A388357

Keyword

nonn,cons,changed

Author

Simon Plouffe, Sep 15 2025

Status

approved