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

Author

Joshua Searle, Oct 30 2024

Keywords

• nonn
• cofr

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

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

Crossrefs

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

Programs

Mathematica

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

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