A392259 Denominators of the convergents given by treating A391217 as continued fraction coefficients after the leading 0.

1, 3, 4, 15, 19, 91, 201, 292, 1661, 1953, 13379, 28711, 42090, 154981, 197071, 1534478, 1731549, 15386870, 32505289, 47892159, 224073925, 271966084, 1039972177, 2351910438, 3391882615, 32878853973, 36270736588, 395586219853, 431856956441, 2554871002058

Offset

1,2

Comments

a(n)^(1/n) approaches the Lévy's constant (A086702) as n tends to infinity since A391217 samples the Gauss-Kuzmin distribution by construction.

Links

Jwalin Bhatt, Table of n, a(n) for n = 1..2046

Wikipedia, Lévy's constant

Prog

(Python) # Using sample_gauss_kuzmin_distribution function from A391217.
from sympy import continued_fraction_convergents
coeffs = sample_gauss_kuzmin_distribution(101)
convergent_generator = continued_fraction_convergents([0] + coeffs)
next(convergent_generator)
A392259 = [frac.denominator for frac in convergent_generator]

Crossrefs

Cf. A086702, A391217, A392258 (numerators).

Sequence in context: A338123 A041435 A136210 * A041819 A369910 A095799

Adjacent sequences: A392256 A392257 A392258 * A392260 A392261 A392262

Keyword

nonn,frac

Author

Jwalin Bhatt, Jan 05 2026

Status

approved