A388756 Decimal expansion of Pi^(3/4) / (sqrt(2) * Gamma(3/4)^3).

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

Offset

0,1

Links

Table of n, a(n) for n=0..86.

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

Index entries for transcendental numbers.

Formula

Empirical: Equals Sum_{k>=0} A212885(k) / exp(k*Pi).

Example

0.90676765516773122024659616867991186661753265995535335527519833387906414847....

Mathematica

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

Prog

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

Crossrefs

Cf. A212885.

Sequence in context: A198213 A388374 A381497 * A388555 A387378 A093766

Adjacent sequences: A388753 A388754 A388755 * A388757 A388758 A388759

Keyword

nonn,cons

Author

Simon Plouffe, Sep 18 2025

Status

approved