A388752 Decimal expansion of (1/4) * exp(Pi / 4) * Pi^(5/2) * sqrt(2) / Gamma(3/4)^10.

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

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} A209942(k) / exp(k*Pi).

Example

1.7765843082757609558441538234741346517...

Mathematica

First[RealDigits[(Pi^(5/2)*Exp[Pi/4])/(2*Sqrt[2]*Gamma[3/4]^10), 10, 100]]

Prog

(PARI) (1/4) * exp(Pi / 4) * Pi^(5/2) * sqrt(2) / gamma(3/4)^10

Crossrefs

Cf. A209942.

Sequence in context: A202949 A354641 A019787 * A093202 A019765 A280507

Adjacent sequences: A388749 A388750 A388751 * A388753 A388754 A388755

Keyword

nonn,cons

Author

Simon Plouffe, Sep 18 2025

Status

approved