A388440 Decimal expansion of (1/32) * exp(Pi) * Pi^(3/2) / Gamma(3/4)^6.

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

Offset

1,3

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} A050470(k) / exp(k*Pi).

Example

1.1891822320988303344410450237197729703...

Mathematica

First[RealDigits[(128*Pi^(3/2)*Exp[Pi])/Gamma[-1/4]^6, 10, 100]]

Prog

(PARI) (1/32) * exp(Pi) * Pi^(3/2) / gamma(3/4)^6

Crossrefs

Cf. A050470.

Sequence in context: A388487 A302765 A053463 * A073636 A381558 A388922

Adjacent sequences: A388437 A388438 A388439 * A388441 A388442 A388443

Keyword

nonn,cons,changed

Author

Simon Plouffe, Sep 15 2025

Status

approved