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A224847 Position of first occurrence of n in the continued fraction for the Euler-Mascheroni constant (gamma).

%I A224847 #12 Feb 16 2025 08:33:19
%S A224847 1,3,8,7,10,68,23,13,138,51,21,160,9,198,336,78,162,175,383,613,182,
%T A224847 650,136,479,249,861,553,617,286,299,1951,165,149,2037,559,482,1283,
%U A224847 680,305,19,348,1129,2279,1883,1902,2563,4752,716,30,2609,567,247,2170,7776
%N A224847 Position of first occurrence of n in the continued fraction for the Euler-Mascheroni constant (gamma).
%C A224847 This sequence is the same as A033149, but uses correct [a_0; a_1, a_2, ...] indexing of continued fraction terms.
%C A224847 The smallest numbers not occurring in the first 4,851,382,841 terms of the c.f. are 27943, 33436, 33978, 34017, ... - _Eric W. Weisstein_, Jul 22 2013
%H A224847 Eric W. Weisstein, <a href="/A224847/b224847.txt">Table of n, a(n) for n = 1..27942</a>
%H A224847 Eric Weisstein's World of Mathematics, <a href="https://mathworld.wolfram.com/Euler-MascheroniConstantContinuedFraction.html">Euler-Mascheroni Constant Continued Fraction</a>
%e A224847 The c.f. for gamma is  A002852 = [0; 1, 1, 2, 1, 2, 1, 4, 3, 13, ...].
%e A224847 1 occurs first at term a_1
%e A224847 2 occurs first at term a_3.
%e A224847 3 occurs first at term a_8.
%e A224847 4 occurs first at term a_7.
%t A224847 With[{cfeg=Rest[ContinuedFraction[EulerGamma,8000]]},Table[Position[cfeg,n,1,1],{n,60}]]//Flatten (* _Harvey P. Dale_, Nov 06 2024 *)
%Y A224847 Cf. A033149(n) = a(n) + 1.
%Y A224847 Cf. A002852 (continued fraction for Euler-Mascheroni constant).
%K A224847 nonn
%O A224847 1,2
%A A224847 _Eric W. Weisstein_, Jul 22 2013