A391920 - OEIS

%I #10 Dec 25 2025 06:03:51

%S 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,

%T 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,

%U 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

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

%H Vincenzo Librandi, <a href="/A391920/b391920.txt">Table of n, a(n) for n = 0..10000</a>

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

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

%o (Magma) R := RealField(100); x := (Pi(R) - Exp(R!1)*Log(Pi(R)))/(Log(Pi(R)) - 1); ContinuedFraction(x); // _Vincenzo Librandi_, Dec 24 2025

%Y Cf. A380965 (decimal expansion).

%Y Cf. A001203, A003417, A259671.

%K nonn,cofr,easy

%O 0,2

%A _Stefano Spezia_, Dec 23 2025