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Records in continued fraction expansion of 1/log(2) (cf. A016730).
3

%I #19 Aug 04 2024 13:37:19

%S 1,2,3,6,10,13,14,18,32,52,113,485,3377,4714,963664,10467647,14779710,

%T 15407967,70919074,73672410,363144903,409121736,628298429,2803904265,

%U 4054561652,53155160769

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

%C 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 Eric Weisstein's World of Mathematics, <a href="http://mathworld.wolfram.com/NaturalLogarithmof2ContinuedFraction.html">Natural Logarithm of 2 Continued Fraction</a>

%p with(numtheory); read transforms; t1:= cfrac(1/log(2),2000,'quotients'); RECORDS(t1);

%Y Cf. A016730 (continued fraction of log(2)).

%Y Cf. A120755 (positions of records in the continued fraction of 1/log(2) and log(2)).

%Y Cf. A129935.

%K nonn,more

%O 1,2

%A _N. J. A. Sloane_, Jun 08 2007

%E a(14)-a(22) from _Eric W. Weisstein_, Aug 20 2013

%E a(23)-a(26) from _Eric W. Weisstein_, Aug 21 2013