A377523 Continued fraction expansion of 1/3 - sqrt(3)/(4*Pi).

0, 5, 8, 1, 2, 4, 4, 1, 1, 2, 5, 4, 1, 6, 13, 37, 20, 2, 1, 3, 1, 37, 1, 5, 1, 1, 4, 3, 1, 2, 1, 1, 5, 2, 4, 10, 1, 3, 15, 3, 6, 2, 2, 7, 1, 1, 6, 4, 2, 2, 6, 1, 1100, 3, 13, 1, 2, 1, 5, 348, 1, 2, 1, 6, 1, 25, 1, 1, 1, 18, 2, 10, 1, 56, 1, 1, 1, 1, 2, 12, 1, 20

Offset

0,2

Comments

See A377522 for its decimal expansion and explanation.

Terms first generated by M. F. Hasler (Oct 29 2024) (see SeqFans Mailing List Thread)

Links

Table of n, a(n) for n=0..81.

SeqFans Mailing List Thread "Overlapping Hyperspheres", SeqFans Mailing List

Mathematica

ContinuedFraction[1/3 - Sqrt[3]/(4*Pi), 100] (* Amiram Eldar, Oct 31 2024 *)

Prog

(PARI) localprec(99); contfrac(1/3-sqrt(3)/4/Pi) \\ M. F. Hasler, Oct 31 2024
(Python)
from sympy import S
list(t for t, _ in zip(S("continued_fraction_iterator(1/3-sqrt(3)/4/pi)"), range(90)))
# M. F. Hasler, Oct 31 2024

Crossrefs

Cf. A377522 (decimal expansion), A132116, A343235.

Sequence in context: A020797 A199661 A343784 * A154856 A198746 A021176

Adjacent sequences: A377520 A377521 A377522 * A377524 A377525 A377526

Keyword

nonn,cofr

Author

Joshua Searle, Oct 30 2024

Status

approved