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A224852 Positions of the incrementally largest terms in the continued fraction for Khinchin's constant.

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%I A224852 #13 Feb 28 2025 16:02:35
%S A224852 0,3,10,15,23,104,1701,2445,18995,60037
%N A224852 Positions of the incrementally largest terms in the continued fraction for Khinchin's constant.
%C A224852 Same as A054870 except correctly indexed with [a_0; a_1, a_2, ...]
%H A224852 Eric Weisstein's World of Mathematics, <a href="https://mathworld.wolfram.com/KhinchinsConstantContinuedFraction.html"> Khinchin's Constant Continued Fraction</a>
%F A224852 a(n) = A054870(n) - 1.
%t A224852 Module[{nn=2500,k},k=ContinuedFraction[Khinchin,nn];DeleteDuplicates[Thread[{Range[nn],k}],GreaterEqual[#1[[2]],#2[[2]]]&]][[;;,1]]-1 (* The program generates the first 8 terms of the sequence. *) (* _Harvey P. Dale_, Feb 28 2025 *)
%Y A224852 Cf. A054870 (= a(n) + 1).
%Y A224852 Cf. A054866 (incrementally largest terms).
%Y A224852 Cf. A002211 (continued fraction of Khinchin's constant).
%K A224852 nonn
%O A224852 0,2
%A A224852 _Eric W. Weisstein_, Jul 22 2013