A258203 Natural numbers n that have the property that starting from k = n, the fixed point of the map k -> floor(tan(k)) is strictly positive, and the smallest number encountered during the iteration is also strictly positive.

1, 4, 23, 26, 45, 48, 67, 70, 89, 92, 105, 111, 114, 127, 133, 136, 149, 155, 158, 171, 177, 180, 183, 193, 199, 202, 205, 215, 221, 224, 227, 243, 246, 249, 265, 268, 271, 290, 293, 300, 312, 315, 334, 337, 344, 356, 359, 378, 381, 400, 403, 422, 425, 444, 447, 460, 466, 469, 482, 488, 491, 504, 510, 513

Offset: 1

Author

Antti Karttunen & Daniel Forgues, May 26 2015

Keywords

• nonn

Comments

Natural numbers n for which A258021(n) > 0 and A258201(n) > 0, or in other words, numbers n such that starting from k = n, the repeated application of map k -> floor(tan(k)) reaches 1 (or any other of strictly positive fixed points, whose existence however remains hypothetical) without ever visiting any negative number.

Links

• Antti Karttunen, Table of n, a(n) for n = 1..10000

Crossrefs

Complement of A258202 in A258024.

Cf. A258021, A258201.