A388359 Decimal expansion of 16 * exp(-11*Pi/24) * 2^(1/8) * Gamma(3/4)^11 / Pi^(11/4).

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

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} A023010(k) / exp(k*Pi).

Example

1.66099823260009285811871887601732104396814000711097860698379325404423197035....

Mathematica

First[RealDigits[(16*2^(1/8)*Exp[(-11*Pi)/24]*Gamma[3/4]^11)/Pi^(11/4), 10, 100]]

Prog

(PARI) 16 * exp(-11/24 * Pi) * 2^(1/8) * gamma(3/4)^11 / Pi^(11/4)

Crossrefs

Cf. A023010.

Sequence in context: A153629 A154155 A021942 * A346536 A317577 A361739

Adjacent sequences: A388356 A388357 A388358 * A388360 A388361 A388362

Keyword

nonn,cons,changed

Author

Simon Plouffe, Sep 15 2025

Status

approved