A391907 Denominators of the convergents given by treating A390946 as continued fraction coefficients after the leading 0.

1, 3, 7, 17, 24, 41, 106, 359, 824, 2007, 6845, 8852, 24549, 57950, 314299, 686548, 2373943, 3060491, 8494925, 20050341, 108746630, 128796971, 237543601, 366340572, 1336565317, 8385732474, 18108030265, 80817853534, 260561590867, 601941035268, 862502626135

Offset

1,2

Comments

a(n)^(1/n) approaches the Lévy's constant (A086702) as n tends to infinity since A390946 samples the Gauss-Kuzmin distribution by construction.

Links

Jwalin Bhatt, Table of n, a(n) for n = 1..1999

Wikipedia, Lévy's constant

Prog

(Python)
from sympy import prime, Rational, continued_fraction_iterator, continued_fraction_convergents
coeffs = [cf for i in range(2, 12) for j in range(1, i) for cf in continued_fraction_iterator(Rational(prime(i), prime(j)))]
convergent_generator = continued_fraction_convergents([0] + coeffs)
next(convergent_generator)
A391907 = [frac.denominator for frac in convergent_generator]

Crossrefs

Cf. A086702, A390946, A391906 (denominators).

Sequence in context: A079470 A056815 A127176 * A100343 A085396 A041077

Adjacent sequences: A391904 A391905 A391906 * A391908 A391909 A391910

Keyword

nonn,frac

Author

Jwalin Bhatt, Dec 23 2025

Status

approved