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

0, 3, 10, 15, 23, 104, 1701, 2445, 18995, 60037

Offset: 0

Author

Eric W. Weisstein, Jul 22 2013

Keywords

• nonn

Comments

Same as A054870 except correctly indexed with [a_0; a_1, a_2, ...]

Links

• Eric Weisstein's World of Mathematics, Khinchin's Constant Continued Fraction

Crossrefs

Cf. A054870 (= a(n) + 1).

Cf. A054866 (incrementally largest terms).

Cf. A002211 (continued fraction of Khinchin's constant).

Programs

Mathematica

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 *)

Formula

a(n) = A054870(n) - 1.