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URL: https://oeis.org/A390652

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A390652
Denominators of the convergents given by treating A084580 as continued fraction coefficients after the leading 0.
4
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) = Lévy's constant (A086702) since A084580 samples the Gauss-Kuzmin distribution by construction.
LINKS
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
KEYWORD
nonn,frac
AUTHOR
Jwalin Bhatt, Nov 14 2025
STATUS
approved