cp's OEIS Frontend

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).

%I A258022 #22 Jun 05 2015 03:52:47
%S A258022 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,
%T A258022 29,30,31,32,33,34,35,36,37,38,39,40,41,42,43,44,46,47,49,50,51,52,53,
%U A258022 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
%N 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).
%C A258022 Integers n >= 0 for which A258021(n) <= 0.
%C A258022 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.
%C A258022 _V.J. Pohjola_ conjectures that the only fixed points of function k -> floor(tan(k)) are 0 and 1.
%o A258022 (Scheme, with _Antti Karttunen_'s IntSeq-library)
%o A258022 (define A258022 (MATCHING-POS 1 0 (lambda (n) (<= (A258021 n) 0))))
%Y A258022 Cf. A258024 (complement provided that function x -> floor(tan(x)) does not form cycles larger than one).
%Y A258022 Cf. A000503, A258020, A258021.
%K A258022 nonn
%O A258022 1,2
%A A258022 _V.J. Pohjola_ & _Antti Karttunen_, May 24 2015