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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, while the smallest number encountered during the iteration is strictly negative.
6

%I #10 Jun 05 2015 03:56:25

%S 121,143,476,498,831,853,1076,1186,1208,1541,1563,1786,1896,1918,2251,

%T 2273,2606,2628,2961,2983,3316,3338,3561,3671,3693,4026,4048,4381,

%U 4403,4736,4758,5091,5113,5336,5446,5468,5801,5823,6156,6178,6511,6533,6866,6888,7221,7243,7576,7598,7821,7931,7953,8286,8308,8641,8663,8996,9018

%N 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, while the smallest number encountered during the iteration is strictly negative.

%C Numbers n for which A258021(n) > 0 and A258201(n) < 0.

%H Antti Karttunen, <a href="/A258202/b258202.txt">Table of n, a(n) for n = 1..10000</a>

%o (Scheme, with _Antti Karttunen_'s IntSeq-library)

%o (define A258202 (MATCHING-POS 1 1 (lambda (n) (and (> (A258021 n) 0) (< (A258201 n) 0)))))

%Y Complement of A258203 in A258024.

%Y Cf. A258021, A258201.

%K nonn

%O 1,1

%A _Antti Karttunen_, May 26 2015