A388608 Decimal expansion of ((Pi / 2)^(3/4) * exp(Pi / 8)) / Gamma(3/4)^3.

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

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} A133089(k) / exp(k*Pi).

Example

1.12923821161678467290154973100147287468128217856855504665359140042839495584....

Mathematica

First[RealDigits[((Pi/2)^(3/4)*Exp[Pi/8])/Gamma[3/4]^3, 10, 100]]

Prog

(PARI) (1/2) * exp(Pi / 8) * Pi^(3/4) * 2^(1/4) / gamma(3/4)^3

Crossrefs

Cf. A133089.

Sequence in context: A290102 A019826 A121602 * A011324 A021346 A281334

Adjacent sequences: A388605 A388606 A388607 * A388609 A388610 A388611

Keyword

nonn,cons,changed

Author

Simon Plouffe, Sep 18 2025

Status

approved