cp's OEIS Frontend

This is a front-end for the Online Encyclopedia of Integer Sequences, made by Christian Perfect. The idea is to provide OEIS entries in non-ancient HTML, and then to think about how they're presented visually. The source code is on GitHub.

A120754 Records in continued fraction expansion of 1/log(2) (cf. A016730).

This page as a plain text file.
%I A120754 #20 Feb 16 2025 08:33:02
%S A120754 1,2,3,6,10,13,14,18,32,52,113,485,3377,4714,963664,10467647,14779710,
%T A120754 15407967,70919074,73672410,363144903,409121736,628298429,2803904265,
%U A120754 4054561652,53155160769
%N A120754 Records in continued fraction expansion of 1/log(2) (cf. A016730).
%C A120754 a(n) are also the incrementally largest terms in the continued fraction of log(2) = [a_0; a_1, a_2, ...] = [0; 1, 2, 3, 1, 6, 3, 1, 1, 2] (excluding the a_0 term). - _Eric W. Weisstein_, Aug 20 2013
%H A120754 Eric Weisstein's World of Mathematics, <a href="https://mathworld.wolfram.com/NaturalLogarithmof2ContinuedFraction.html">Natural Logarithm of 2 Continued Fraction</a>
%p A120754 with(numtheory); read transforms; t1:= cfrac(1/log(2),2000,'quotients'); RECORDS(t1);
%Y A120754 Cf. A016730 (continued fraction of log(2)).
%Y A120754 Cf. A120755 (positions of records in the continued fraction of 1/log(2) and log(2)).
%Y A120754 Cf. A129935.
%K A120754 nonn,more
%O A120754 1,2
%A A120754 _N. J. A. Sloane_, Jun 08 2007
%E A120754 a(14)-a(22) from _Eric W. Weisstein_, Aug 20 2013
%E A120754 a(23)-a(26) from _Eric W. Weisstein_, Aug 21 2013