A390652 Denominators of the convergents given by treating A084580 as continued fraction coefficients after the leading 0.

1, 1, 2, 5, 7, 12, 43, 98, 141, 239, 380, 1759, 3898, 5657, 20869, 26526, 73921, 100447, 576156, 676603, 1252759, 3182121, 4434880, 16486761, 103355446, 119842207, 582724274, 1285290755, 1868015029, 3153305784, 5021320813, 13195947410, 44609163043, 57805110453

Offset

0,3

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 14 2026

Links

Jwalin Bhatt, Table of n, a(n) for n = 0..2000

Wikipedia, Lévy's constant

Prog

(Python) # Using sample_gauss_kuzmin_distribution function from A084580.
from sympy import continued_fraction_convergents
coeffs = [0] + sample_gauss_kuzmin_distribution(100)
convergent_generator = continued_fraction_convergents(coeffs)
A390652 = [frac.denominator for frac in convergent_generator]

Crossrefs

Cf. A084580, A086702, A372869, A390651.

Sequence in context: A071013 A114727 A295334 * A041033 A134472 A041203

Adjacent sequences: A390649 A390650 A390651 * A390653 A390654 A390655

Keyword

nonn,frac

Author

Jwalin Bhatt, Nov 14 2025

Status

approved