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Where records occur in continued fraction expansion of 1/log(2) (cf. A016730).
3

%I #24 Sep 14 2024 06:52:13

%S 1,2,3,5,15,28,41,47,74,109,123,166,501,6528,9168,465506,3456790,

%T 28568688,47066208,146052963,201331652,415612810,1047079803,

%U 1464289355,2294768489,2565310827

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

%C a(n) are also the positions of incrementally highest 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 term a_0) - _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>

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

%Y Cf. A120754 (records in the continued fraction expansion 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