A281289 Decimal expansion of local minimum of tan(x) - csc(x).

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

Offset

1,1

Comments

Call this constant c. Each local minimum of tan(x) - csc(x) is c and each local maximum is -c. For each integer k, a local minimum occurs at x = -2.42626390368270450053985988809886575923... + 2*Pi*k and a local maximum occurs at x = +2.42626390368270450053985988809886575923... + 2*Pi*k.

Links

Table of n, a(n) for n=1..105.

Example

2.39353954176256107196491392145264377845414588906219243509679854846154611579...

Mathematica

RealDigits[FindMinimum[Tan[x] - Csc[x], {x, -2}, WorkingPrecision -> 120][[1]]][[1]] (* Amiram Eldar, May 27 2023 *)

Crossrefs

Sequence in context: A028508 A021422 A193086 * A377024 A331388 A093319

Adjacent sequences: A281286 A281287 A281288 * A281290 A281291 A281292

Keyword

nonn,cons

Author

Rick L. Shepherd, Jan 18 2017

Status

approved