A033149 Position of first occurrence of n in the continued fraction for the Euler-Mascheroni constant (gamma).

2, 4, 9, 8, 11, 69, 24, 14, 139, 52, 22, 161, 10, 199, 337, 79, 163, 176, 384, 614, 183, 651, 137, 480, 250, 862, 554, 618, 287, 300, 1952, 166, 150, 2038, 560, 483, 1284, 681, 306, 20, 349, 1130, 2280, 1884, 1903, 2564, 4753, 717, 31, 2610, 568, 248, 2171

Offset

1,1

Comments

The smallest positive integers not appearing in the first 970,258,158 terms of the c.f. are 13161, 13295, 14734, 14970, 14971, 15795, 15985, 16011, 16110, ... - Eric W. Weisstein, Sep 21 2011

Links

Table of n, a(n) for n=1..53.

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

Formula

a(n) = A224847(n) + 1.

Mathematica

With[{cf=ContinuedFraction[EulerGamma, 5000]}, Table[Position[cf, n, 1, 1], {n, 60}]]//Flatten (* Harvey P. Dale, Aug 06 2025 *)

Prog

(PARI) /* 15000 precision digits */ v=contfrac(Euler); a(n)=if(n<0, 0, s=1; while(abs(n-component(v, s))>0, s++); s)

Crossrefs

Cf. A001620, A002852, A032523.

Cf. A224847 (= a(n) -1).

Sequence in context: A011033 A179219 A367726 * A131094 A129598 A256017

Adjacent sequences: A033146 A033147 A033148 * A033150 A033151 A033152

Keyword

nonn,base

Author

Eric W. Weisstein

Extensions

More terms from Benoit Cloitre, Oct 20 2002

Status

approved