A388171 Decimal expansion of exp(Pi/4) * sqrt(Pi) * 2^(3/4) / Gamma(3/4)^2.

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

Offset

1,1

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} A005883(k) / exp(k*Pi).

Example

4.3538546923211765731764449609346635454...

Mathematica

First[RealDigits[(2^(3/4)*Sqrt[Pi]*Exp[Pi/4])/Gamma[3/4]^2, 10, 100]]

Prog

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

Crossrefs

Cf. A005883.

Sequence in context: A328237 A249220 A075128 * A074091 A177033 A104569

Adjacent sequences: A388168 A388169 A388170 * A388172 A388173 A388174

Keyword

nonn,cons

Author

Simon Plouffe, Sep 15 2025

Status

approved