A392729 Decimal expansion of the number whose continued fraction coefficients are given in A391217.

7, 3, 6, 3, 0, 3, 1, 5, 9, 7, 7, 1, 9, 3, 6, 8, 5, 9, 8, 9, 9, 9, 1, 4, 3, 4, 7, 5, 2, 1, 2, 1, 1, 3, 2, 4, 6, 8, 3, 8, 0, 6, 5, 6, 7, 2, 4, 5, 6, 9, 6, 2, 1, 7, 2, 8, 1, 2, 1, 8, 7, 3, 6, 4, 4, 9, 4, 0, 7, 2, 1, 9, 0, 7, 5, 9, 7, 4, 9, 8, 5, 9, 0, 8, 9, 8, 1

Offset

0,1

Comments

The constant is normal in the continued fraction sense since its continued fraction coefficients follow the Gauss-Kuzmin distribution by construction.

Links

Jwalin Bhatt, Table of n, a(n) for n = 0..10000

Formula

Equals lim_{n->oo} A392258(n) / A392259(n).

Example

0.736303159771936859899914347521211324683806567245696217281218736449407...

Prog

(Python) # Using sample_gauss_kuzmin_distribution function from A391217.
from sympy import floor, continued_fraction_convergents
from collections import deque
from os.path import commonprefix
def reliable_digits_from_cf(coeffs, prec):
    frac_lower, frac_upper = deque(tqdm(continued_fraction_convergents(coeffs+[1])), maxlen=2)
    trunc_lower, trunc_upper = floor(frac_lower * 10**prec), floor(frac_upper * 10**prec)
    return commonprefix([str(trunc_lower), str(trunc_upper)])
coeffs = [0] + sample_gauss_kuzmin_distribution(250)
num = reliable_digits_from_cf(coeffs, prec=200)
A392729 = [int(d) for d in num]

Crossrefs

Cf. A391217 (continued fraction), A392258, A392259.

Sequence in context: A241002 A198425 A246203 * A354627 A091682 A073016

Adjacent sequences: A392726 A392727 A392728 * A392730 A392731 A392732

Keyword

nonn,cons

Author

Jwalin Bhatt, Jan 21 2026

Status

approved