A048613 Number of terms (excluding the first) of A002211 for which the geometric mean produces progressively better approximations to Khinchin's constant (itself).

1, 2, 3, 15, 23, 26, 81, 104, 109, 111, 120, 127, 135, 136, 141, 142, 144, 145, 146, 147, 148, 5920, 5943, 8381, 8401, 89953, 91368, 267848, 353014

Offset: 1

Author

Hans Havermann

Keywords

• nice
• nonn
• more

Comments

a(30) > 969679. - Hans Havermann, Jul 14 2024

Links

• Hans Havermann, Simple Continued Fraction Expansion of Khinchin's Constant.
• Marek Wolf, Computer experiments with Mersenne primes, arXiv preprint arXiv:1112.2412 [math.NT], 2011.

Crossrefs

Cf. A002211, A209600.

Programs

Mathematica

cf=Rest[ContinuedFraction[Khinchin,200]];r=2;p=N[1,50];Do[p=p*cf[[i]];m=Abs[p^(1/i)-Khinchin];If[mHans Havermann, Jul 16 2024 *)

Extensions

a(28)-a(29) from Hans Havermann, Jul 14 2024