A372959 Decimal expansion of the least positive solution of cos(x) - sin(x) = 5/4.

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

Offset

1,1

Links

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

Formula

Equals 2*(Pi - arctan((4 + sqrt(7))/9)). - Vaclav Kotesovec, Jul 08 2024

Example

5.0110921887073649648458702580613786482842894788555426776588...

Mathematica

f = FindRoot[Cos[ x] - Sin[ x ] == 5/4, {x, {5, 6}}, WorkingPrecision -> 500][[1, 2]][[1]]
RealDigits[f][[1]]

Crossrefs

Cf. A197291, A372954, A372955, A374407, A374408, A372958.

Sequence in context: A277031 A085198 A339207 * A199916 A363041 A180494

Adjacent sequences: A372956 A372957 A372958 * A372960 A372961 A372962

Keyword

nonn,cons

Author

Clark Kimberling, Jul 07 2024

Status

approved