A388948 Decimal expansion of (1/32) * exp(Pi) * Pi^(5/4) / Gamma(3/4)^5.

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

Offset

1,3

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} A266575(k) / exp(k*Pi).

Example

1.0945730197753661050401057604586050687...

Mathematica

First[RealDigits[(-32*Pi^(5/4)*Exp[Pi])/Gamma[-1/4]^5, 10, 100]]

Prog

(PARI) (1/32) * exp(Pi) * Pi^(5/4) / gamma(3/4)^5

Crossrefs

Cf. A266575.

Sequence in context: A114739 A388886 A240964 * A388921 A154900 A246546

Adjacent sequences: A388945 A388946 A388947 * A388949 A388950 A388951

Keyword

nonn,cons

Author

Simon Plouffe, Sep 21 2025

Status

approved