A388170 Decimal expansion of (1/4) * exp(Pi/2) * Pi * sqrt(2) / Gamma(3/4)^4.

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

Offset

1,1

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} A005880(k) / exp(k*Pi).

Example

2.3695063352308908905340808581559559337...

Mathematica

First[RealDigits[(64*Sqrt[2]*Pi*Exp[Pi/2])/Gamma[-1/4]^4, 10, 100]]

Prog

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

Crossrefs

Cf. A005880.

Sequence in context: A358764 A361133 A361534 * A359857 A087494 A328843

Adjacent sequences: A388167 A388168 A388169 * A388171 A388172 A388173

Keyword

nonn,cons,changed

Author

Simon Plouffe, Sep 15 2025

Status

approved