A099789 -id:A099789 - cp's OEIS frontend

A014538 Continued fraction for Catalan's constant 1 - 1/9 + 1/25 - 1/49 + 1/81 - ...

0, 1, 10, 1, 8, 1, 88, 4, 1, 1, 7, 22, 1, 2, 3, 26, 1, 11, 1, 10, 1, 9, 3, 1, 1, 1, 1, 1, 1, 2, 2, 1, 11, 1, 1, 1, 6, 1, 12, 1, 4, 7, 1, 1, 2, 5, 1, 5, 9, 1, 1, 1, 1, 33, 4, 1, 1, 3, 5, 3, 2, 1, 2, 1, 2, 1, 7, 6, 3, 1, 3, 3, 1, 1, 2, 1, 14, 1, 4, 4, 1, 2, 4, 1, 17, 4, 1, 14, 1, 1, 1, 12, 1

Offset: 0

Eric W. Weisstein

First 4,851,389,025 terms computed by Eric W. Weisstein, Aug 07 2013.

			C = 0.91596559417721901505... = 0 + 1/(1 + 1/(10 + 1/(1 + 1/(8 + ...))))

Harry J. Smith, Table of n, a(n) for n = 0..20000
G. J. Fee, Computation of Catalan's constant using Ramanujan's formula, in Proc. Internat. Symposium on Symbolic and Algebraic Computation (ISSAC '90). 1990, pp. 157-160.
Eric Weisstein's World of Mathematics, Catalan's Constant Continued Fraction
G. Xiao, Contfrac
Index entries for continued fractions for constants

Cf. A006752 (decimal expansion of Catalan's constant).
Cf. A099789 (high water marks), A099790 (positions of high water marks).
Cf. A006752, A104338, A153069, A153070, A054543, A118323. - Stuart Clary, Dec 17 2008

R:= RealField(100); ContinuedFraction(Catalan(R)); // G. C. Greubel, Aug 23 2018

ContinuedFraction[Catalan, 100] (* G. C. Greubel, Aug 23 2018 *)

default(realprecision, 100); contfrac(Catalan) \\ G. C. Greubel, Aug 23 2018

A099790 Positions of records for terms in the continued fraction of Catalan's constant.

Original entry on oeis.org

0, 1, 2, 6, 105, 284, 747, 984, 2230, 5377, 11513, 15453, 56611, 140810, 1282328, 2175211, 3328834, 96073801, 285626436, 801855023, 927833490

Offset: 0

Eric W. Weisstein, Oct 26 2004

No other records in first 4,851,389,025 terms of the continued fraction. - Eric W. Weisstein, Aug 07 2013

Eric Weisstein's World of Mathematics, Catalan's Constant Continued Fraction

Cf. A099789 (records for terms).
Cf. A014538 (continued fraction for Catalan's constant).
Cf. A006752 (decimal expansion of Catalan's constant).

a(17) from Eric W. Weisstein, Sep 22 2011
a(18) from Eric W. Weisstein, Oct 04 2011
a(19)-a(20) from Eric W. Weisstein, Jul 20 2013

cp's OEIS Frontend

A014538 Continued fraction for Catalan's constant 1 - 1/9 + 1/25 - 1/49 + 1/81 - ...

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