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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). 6
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 (list; graph; refs; listen; history; text; internal format)
OFFSET

1,2

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.

LINKS

Table of n, a(n) for n=1..74.

PROG

(Scheme, with Antti Karttunen's IntSeq-library)

(define A258022 (MATCHING-POS 1 0 (lambda (n) (<= (A258021 n) 0))))

CROSSREFS

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

Cf. A000503, A258020, A258021.

Sequence in context: A004723 A293754 A242410 * A333638 A089590 A052406

Adjacent sequences:  A258019 A258020 A258021 * A258023 A258024 A258025

KEYWORD

nonn

AUTHOR

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

STATUS

approved

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Last modified August 5 14:57 EDT 2021. Contains 346469 sequences. (Running on oeis4.)