A392258 - OEIS

%I #14 Jun 11 2026 17:53:55

%S 1,2,3,11,14,67,148,215,1223,1438,9851,21140,30991,114113,145104,

%T 1129841,1274945,11329401,23933747,35263148,164986339,200249487,

%U 765734800,1731719087,2497453887,24208804070,26706257957,291271383640,317977641597,1881159591625

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

%C 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

%H Jwalin Bhatt, <a href="/A392258/b392258.txt">Table of n, a(n) for n = 1..2046</a>

%H Wikipedia, <a href="https://en.wikipedia.org/wiki/L%C3%A9vy%27s_constant">Lévy's constant</a>

%o (Python) # Using sample_gauss_kuzmin_distribution function from A391217.

%o from sympy import continued_fraction_convergents

%o coeffs = sample_gauss_kuzmin_distribution(101)

%o convergent_generator = continued_fraction_convergents([0] + coeffs)

%o next(convergent_generator)

%o A392258 = [frac.numerator for frac in convergent_generator]

%Y Cf. A086702, A391217, A392259 (denominators).

%K nonn,frac

%O 1,2

%A _Jwalin Bhatt_, Jan 05 2026