

A120754


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


3



1, 2, 3, 6, 10, 13, 14, 18, 32, 52, 113, 485, 3377, 4714, 963664, 10467647, 14779710, 15407967, 70919074, 73672410, 363144903, 409121736, 628298429, 2803904265, 4054561652, 53155160769
(list;
graph;
refs;
listen;
history;
text;
internal format)



OFFSET

1,2


COMMENTS

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


LINKS

Table of n, a(n) for n=1..26.
Eric Weisstein's World of Mathematics, Natural Logarithm of 2 Continued Fraction


MAPLE

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


CROSSREFS

Cf. A016730 (continued fraction of log(2)).
Cf. A120755 (positions of records in the continued fraction of 1/log(2) and log(2)).
Cf. A129935.
Sequence in context: A239212 A280558 A216920 * A023547 A190690 A084396
Adjacent sequences: A120751 A120752 A120753 * A120755 A120756 A120757


KEYWORD

nonn,cofr


AUTHOR

N. J. A. Sloane, Jun 08 2007


EXTENSIONS

a(14)a(22) from Eric W. Weisstein, Aug 20 2013
a(23)a(26) from Eric W. Weisstein, Aug 21 2013


STATUS

approved



