A388242 Decimal expansion of (2 / Pi)^(1/4) * Gamma(3/4).

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

Offset

1,3

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} A015128(k) / exp(k*Pi).

Example

1.09459592303990983183952974471423475969787892488247804935519445154401665372....

Mathematica

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

Prog

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

Crossrefs

Cf. A015128.

Sequence in context: A382013 A016630 A389012 * A374490 A388706 A213614

Adjacent sequences: A388239 A388240 A388241 * A388243 A388244 A388245

Keyword

nonn,cons,changed

Author

Simon Plouffe, Sep 15 2025

Status

approved