A388776 Decimal expansion of (11+5 * sqrt(5)) * exp(-Pi).

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

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} A223903(k) / exp(k*Pi).

Example

0.95849939496106693767620787846269342217799429706485628313419910681982445983....

Mathematica

First[RealDigits[(11 + 5*Sqrt[5])*Exp[-Pi], 10, 100]]

Prog

(PARI) (1/2000) * exp(-Pi) * (5+5^(1/2))^5*5^(1/2)

Crossrefs

Cf. A223903.

Sequence in context: A388599 A388564 A388460 * A375901 A388503 A388937

Adjacent sequences: A388773 A388774 A388775 * A388777 A388778 A388779

Keyword

nonn,cons

Author

Simon Plouffe, Sep 18 2025

Status

approved