A258022 Nonnegative integers n with property that when starting from x=n, the map x -> floor(tan(x)) reaches [the fixed point] 0 (or any other integer less than 1 if such negative fixed points exist).

0, 2, 3, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 24, 25, 27, 28, 29, 30, 31, 32, 33, 34, 35, 36, 37, 38, 39, 40, 41, 42, 43, 44, 46, 47, 49, 50, 51, 52, 53, 54, 55, 56, 57, 58, 59, 60, 61, 62, 63, 64, 65, 66, 68, 69, 71, 72, 73, 74, 75, 76, 77, 78, 79, 80, 81

Offset: 1

Author

V.J. Pohjola & Antti Karttunen, May 24 2015

Keywords

• nonn

Comments

Integers n >= 0 for which A258021(n) <= 0.

Natural numbers n such that the iteration of the function floor(tan(k)) applied to n eventually reaches [the fixed point] 0 (or less, if such negative fixed points exist), where k is interpreted as k radians. - Daniel Forgues, May 26 2015.

V.J. Pohjola conjectures that the only fixed points of function k -> floor(tan(k)) are 0 and 1.

Crossrefs

Cf. A258024 (complement provided that function x -> floor(tan(x)) does not form cycles larger than one).

Cf. A000503, A258020, A258021.