A388475 Decimal expansion of ((Pi / 2)^(1/4) * exp(Pi / 4)) / Gamma(3/4).

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

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} A089800(k) / exp(k*Pi).

Example

2.0037348984882403346116855436471115871...

Mathematica

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

Prog

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

Crossrefs

Cf. A089800.

Sequence in context: A391657 A351142 A269159 * A380777 A389066 A216394

Adjacent sequences: A388472 A388473 A388474 * A388476 A388477 A388478

Keyword

nonn,cons

Author

Simon Plouffe, Sep 17 2025

Status

approved