A391920 Simple continued fraction expansion of (Pi - e*log(Pi))/(log(Pi) - 1).

0, 4, 1, 5, 3, 3, 1, 1, 1, 2, 15, 1, 3, 1, 1, 21, 1, 10, 14, 1, 3, 2, 2, 2, 1, 16, 1, 1, 2, 1, 1, 2, 1, 2, 1, 37, 1, 2, 12, 3, 4, 2, 3, 2, 4, 4, 62, 1, 38, 1, 1, 1, 1, 2, 1, 3, 4, 1, 4, 2, 1, 28, 1, 2, 4, 1, 1, 1, 1, 1, 1, 7, 2, 2, 1, 6, 1, 2, 2, 34, 3, 4, 14, 6, 1, 4, 1, 5, 1, 2

Offset

0,2

Links

Vincenzo Librandi, Table of n, a(n) for n = 0..10000

Example

(Pi - e*log(Pi))/(log(Pi) - 1) = 1/(4 + 1/(1 + 1/(5 + 1/(3 + ... )))).

Mathematica

ContinuedFraction[(Pi-E Log[Pi])/(Log[Pi]-1), 90]

Prog

(Magma) R := RealField(100); x := (Pi(R) - Exp(R!1)*Log(Pi(R)))/(Log(Pi(R)) - 1); ContinuedFraction(x); // Vincenzo Librandi, Dec 24 2025

Crossrefs

Cf. A380965 (decimal expansion).

Cf. A001203, A003417, A259671.

Sequence in context: A199150 A329215 A376796 * A214892 A393797 A030352

Adjacent sequences: A391917 A391918 A391919 * A391921 A391922 A391923

Keyword

nonn,cofr,easy

Author

Stefano Spezia, Dec 23 2025

Status

approved