A380965 Decimal expansion of the solution to e^(x+Pi) = Pi^(x+e).

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

Offset

0,1

Comments

It would be nice to have a reference to the scientific literature for this number. - N. J. A. Sloane, Feb 11 2025

Links

Table of n, a(n) for n=0..99.

Vicente, "x" approximate value?. [Posting to X, formerly Twitter. Author's name? Date?]

Formula

Equals (Pi - e*log(Pi))/(log(Pi) - 1).

Example

0.2065517167786496639130717563086969850230914439...

Mathematica

RealDigits[(Pi-E Log[Pi])/(Log[Pi]-1), 10, 100][[1]]

Crossrefs

Cf. A000796, A001113, A039661, A053510, A059850, A179701.

Sequence in context: A199464 A189961 A211241 * A140247 A271170 A111520

Adjacent sequences: A380959 A380960 A380961 * A380966 A380967 A380968

Keyword

nonn,cons

Author

Stefano Spezia, Feb 09 2025

Status

approved