A388692 Decimal expansion of -(1/400000000) * exp(33*Pi/8) * Pi^(9/4) * 2^(3/8) * (-5+5^(1/2))^5*5^(1/2) / Gamma(3/4)^9.

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

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} A182805(k) / exp(k*Pi).

Example

1.0472094700458042983651808146275030490...

Mathematica

First[RealDigits[((-11 + 5*Sqrt[5])*Pi^(9/4)*Exp[(33*Pi)/8])/(100000*2^(5/8)*Gamma[3/4]^9), 10, 100]]

Prog

(PARI) -(1/400000000) * exp(33/8 * Pi) * Pi^(9/4) * 2^(3/8) * (-5+5^(1/2))^5*5^(1/2) / gamma(3/4)^9

Crossrefs

Cf. A182805.

Sequence in context: A388691 A388909 A388933 * A388934 A387545 A388800

Adjacent sequences: A388689 A388690 A388691 * A388693 A388694 A388695

Keyword

nonn,cons

Author

Simon Plouffe, Sep 18 2025

Status

approved