A033091 Incrementally largest terms in the continued fraction for Euler's constant gamma (A002852).

0, 1, 2, 4, 13, 40, 49, 65, 399, 2076, 11626, 12156, 12190, 16992, 87983, 717895, 2186175, 4327480, 7928565, 8130547, 12139891, 54517279, 67728780, 264656137, 410041022, 2970688427, 13126642049, 19585729892, 71713995073

Offset

0,3

Comments

a(28)=71713995073 is the largest of the first 4851382841 terms of the c.f. - Eric W. Weisstein, Jul 22 2013

a(28)=71713995073 is the largest of the first 16695279010 terms of the c.f. - Syed Fahad, May 05 2021

Links

Table of n, a(n) for n=0..28.

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

Crossrefs

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

Cf. A033092 (positions of incrementally largest terms in c.f.).

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

Cf. A098967.

Cf. A059856, A098967.

Sequence in context: A148254 A163137 A093630 * A282741 A133453 A085422

Adjacent sequences: A033088 A033089 A033090 * A033092 A033093 A033094

Keyword

nonn,hard

Author

Eric W. Weisstein and Bill Gosper

Extensions

More terms from Sam Handler (sam_5_5_5_0(AT)yahoo.com) and (independently) 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

Status

approved