A392258 Numerators of the convergents given by treating A391217 as continued fraction coefficients after the leading 0.

1, 2, 3, 11, 14, 67, 148, 215, 1223, 1438, 9851, 21140, 30991, 114113, 145104, 1129841, 1274945, 11329401, 23933747, 35263148, 164986339, 200249487, 765734800, 1731719087, 2497453887, 24208804070, 26706257957, 291271383640, 317977641597, 1881159591625

Offset

1,2

Comments

a(n)^(1/n) seems to approach a value between Pi and Lévy's constant (A086702) as n tends to infinity. - Corrected by Jwalin Bhatt, Jun 06 2026

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)
A392258 = [frac.numerator for frac in convergent_generator]

Crossrefs

Cf. A086702, A391217, A392259 (denominators).

Sequence in context: A182709 A321766 A041029 * A158353 A158355 A041235

Adjacent sequences: A392255 A392256 A392257 * A392259 A392260 A392261

Keyword

nonn,frac,changed

Author

Jwalin Bhatt, Jan 05 2026

Status

approved