A388191 Decimal expansion of (1/16) * exp(3*Pi/4) * Pi^(3/2) * 2^(1/4) / Gamma(3/4)^6.

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

Offset

1,2

Links

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

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

Formula

Empirical: Equals Sum_{k>=0} A008440(k) / exp(k*Pi).

Example

1.2895607845162211414951500603628252207...

Mathematica

First[RealDigits[(256*2^(1/4)*Pi^(3/2)*Exp[(3*Pi)/4])/Gamma[-1/4]^6, 10, 100]]

Prog

(PARI) (1/16) * exp(3/4 * Pi) * Pi^(3/2) * 2^(1/4) / gamma(3/4)^6

Crossrefs

Cf. A008440.

Sequence in context: A199274 A140241 A340536 * A340778 A108744 A388516

Adjacent sequences: A388188 A388189 A388190 * A388192 A388193 A388194

Keyword

nonn,cons

Author

Simon Plouffe, Sep 15 2025

Status

approved