A391510 Denominators of the convergents given by treating A241773 as continued fraction coefficients after the leading 0.

1, 3, 10, 13, 62, 75, 437, 949, 1386, 9265, 10651, 83822, 94473, 272768, 912777, 1185545, 10397137, 11582682, 114641275, 240865232, 355506507, 1662891260, 2018397767, 21846868930, 23865266697, 93442669021, 210750604739, 304193273760, 3556876616099, 3861069889859

Offset

1,2

Comments

Limit_{n->oo} a(n)^(1/n) seems to approach a value between Pi and Lévy's constant (A086702). - Corrected by Jwalin Bhatt, Jun 18 2026

Links

Jwalin Bhatt, Table of n, a(n) for n = 1..2000

Prog

(Python) # Using sample_gauss_kuzmin_distribution function from A241773.
from sympy import continued_fraction_convergents
coeffs = [0] + sample_gauss_kuzmin_distribution(100)
convergent_generator = continued_fraction_convergents(coeffs)
next(convergent_generator)
A391510 = [frac.denominator for frac in convergent_generator]

Crossrefs

Cf. A086702, A241773, A390652, A391509 (numerators).

Sequence in context: A081519 A041121 A002354 * A079943 A041865 A357628

Adjacent sequences: A391507 A391508 A391509 * A391511 A391512 A391513

Keyword

nonn,frac,changed

Author

Jwalin Bhatt, Dec 11 2025

Status

approved