A033092 Positions of incrementally largest terms in the continued fraction for Euler's constant gamma (A002852).

1, 2, 4, 8, 10, 20, 31, 34, 40, 529, 5041, 15347, 25318, 28321, 33261, 158568, 273272, 3233049, 4198630, 11925232, 21988970, 27999430, 130169954, 133517598, 560882701, 1060718271, 1158300012, 1183752952, 3652709607

Offset: 0

Author

Eric W. Weisstein and Bill Gosper

Keywords

• nonn

Comments

This sequence assumes nonstandard indexing of c.f. terms as [a_1; a_2, a_3, ...].

No other maximum term occurs in the first 4,851,382,841 terms of the c.f. - Eric W. Weisstein, Jul 22 2013

Links

• Eric Weisstein's World of Mathematics, Euler-Mascheroni Constant Continued Fraction

Crossrefs

Cf. A224849 (= a(n) - 1).

Cf. A002852 (continued fraction for Euler's constant).

Cf. A033091 (values of incrementally largest terms in c.f.).

Cf. A001620 (decimal expansion of Euler's constant).

Cf. A098967.

Formula

a(n) = A224849(n) + 1.

Extensions

More terms from Eric W. Weisstein, Oct 25 2004

More terms from Eric W. Weisstein, Jan 02 2007

a(22) and a(23) from Eric W. Weisstein, Dec 09 2010

a(24) from Eric W. Weisstein, Sep 21 2011

a(25)-a(28) from Eric W. Weisstein, Jul 22 2013