A336044 Decimal expansion of the solution c of s/c = 3/2, where s = arclength and c = chord length on the unit circle.

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

Offset

1,2

Comments

See A336043 for a guide to related sequences.

Links

Table of n, a(n) for n=1..86.

Index entries for transcendental numbers.

Example

s = 2.9915631364441994204309876991519194313413...
c = 1.9943754242961329469539917994346129542275...

Mathematica

t = t /.FindRoot[t == (3/2) Sqrt[2 - 2 Cos[t]], {t, 4}, WorkingPrecision -> 200]
c = 2 t/3
RealDigits[t][[1]]   (* A336043 *)
RealDigits[c][[1]]   (* A336044 *)

Prog

(PARI) 2*solve(x=2, 3, 3*sqrt(2-2*cos(x))-2*x)/3 \\ Charles R Greathouse IV, May 18 2026

Crossrefs

Cf. A336043.

Sequence in context: A387453 A283749 A249023 * A393952 A382582 A019893

Adjacent sequences: A336041 A336042 A336043 * A336045 A336046 A336047

Keyword

nonn,cons

Author

Clark Kimberling, Jul 06 2020

Status

approved