A224852 - OEIS

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

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OFFSET

0,2

COMMENTS

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

LINKS

Table of n, a(n) for n=0..9.

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

FORMULA

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

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 *)

CROSSREFS

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

Cf. A054866 (incrementally largest terms).

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

Sequence in context: A278291 A247420 A063231 * A325233 A030005 A192163

Adjacent sequences: A224849 A224850 A224851 * A224853 A224854 A224855

KEYWORD

nonn,changed

AUTHOR

Eric W. Weisstein, Jul 22 2013

STATUS

approved