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

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

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 A355509

Adjacent sequences: A120751 A120752 A120753 * A120755 A120756 A120757

Keyword

nonn,more

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