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Incrementally largest terms in the continued fraction for Euler's constant gamma (A002852).
5

%I #28 May 07 2021 00:40:40

%S 0,1,2,4,13,40,49,65,399,2076,11626,12156,12190,16992,87983,717895,

%T 2186175,4327480,7928565,8130547,12139891,54517279,67728780,264656137,

%U 410041022,2970688427,13126642049,19585729892,71713995073

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

%C a(28)=71713995073 is the largest of the first 4851382841 terms of the c.f. - _Eric W. Weisstein_, Jul 22 2013

%C a(28)=71713995073 is the largest of the first 16695279010 terms of the c.f. - _Syed Fahad_, May 05 2021

%H Eric Weisstein's World of Mathematics, <a href="http://mathworld.wolfram.com/Euler-MascheroniConstantContinuedFraction.html">Euler-Mascheroni Constant Continued Fraction</a>

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

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

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

%Y Cf. A098967.

%Y Cf. A059856, A098967.

%K nonn,hard

%O 0,3

%A _Eric W. Weisstein_ and _Bill Gosper_

%E More terms from Sam Handler (sam_5_5_5_0(AT)yahoo.com) and (independently) _Eric W. Weisstein_, Oct 25 2004

%E More terms from _Eric W. Weisstein_, Jan 02 2007

%E a(22) and a(23) from _Eric W. Weisstein_, Dec 09 2010

%E a(24) from _Eric W. Weisstein_, Sep 21 2011

%E a(25)-a(28) from _Eric W. Weisstein_, Jul 22 2013