The On-Line Encyclopedia of Integer Sequences (OEIS)

Revision History for A258202 (Bold, blue-underlined text is an addition; faded, red-underlined text is a ~~deletion~~.)
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A258202

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.
(history; published version)

#10 by N. J. A. Sloane at Fri Jun 05 03:56:25 EDT 2015

STATUS

proposed

approved

#9 by Antti Karttunen at Wed May 27 06:22:40 EDT 2015

STATUS

editing

proposed

#8 by Antti Karttunen at Wed May 27 06:21:06 EDT 2015

NAME

Natural numbers n for which that have the property that starting from them, k = n, the fixed point of the map x k -> floor(tan(xk)) is strictly positive, while the smallest number encountered during the iteration is strictly negative.

CROSSREFS

Subsequence Complement of A258203 in A258024.

STATUS

proposed

editing

#7 by Antti Karttunen at Tue May 26 22:32:53 EDT 2015

STATUS

editing

proposed

#6 by Antti Karttunen at Tue May 26 22:32:28 EDT 2015

LINKS

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

#5 by Antti Karttunen at Tue May 26 22:01:38 EDT 2015

CROSSREFS

Probably a subsequence Subsequence of A258024.

#4 by Antti Karttunen at Tue May 26 05:45:40 EDT 2015

NAME

Natural numbers n for which have the property that starting from them, the fixed point of the map x -> floor(tan(x)) reaches nonzero number as the eventual fixed point, and is strictly positive, while the smallest number encountered during the iteration is strictly negative.

COMMENTS

Numbers n for which A258021(n) is not zero > 0 and A258201(n) is less than zero< 0.

PROG

(define A258202 (MATCHING-POS 1 1 (lambda (n) (and (not (zero? > (A258021 n)) 0) (< (A258201 n) 0)))))

Discussion

Tue May 26

05:46

Antti Karttunen: Some cosmetic changes to make the definition of the sequence more symmetric, but probably still a subsequence of A258024, in case there are no other fixed points than 0 and 1 for floor(tan(n)).

#3 by Antti Karttunen at Tue May 26 05:42:53 EDT 2015

NAME

Natural numbers n for which have the property that starting from them, the map x -> floor(tan(x)) reaches 1 (instead of 0) nonzero number as the eventual fixed point, and the smallest number encountered during the iteration is negative.

CROSSREFS

Subsequence Probably a subsequence of A258024.

#2 by Antti Karttunen at Tue May 26 05:20:29 EDT 2015

NAME

allocated Natural numbers n for Antti Karttunenwhich have the property that starting from them, the map x -> floor(tan(x)) reaches 1 (instead of 0) as the eventual fixed point, and the smallest number encountered during the iteration is negative.

DATA

121, 143, 476, 498, 831, 853, 1076, 1186, 1208, 1541, 1563, 1786, 1896, 1918, 2251, 2273, 2606, 2628, 2961, 2983, 3316, 3338, 3561, 3671, 3693, 4026, 4048, 4381, 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

OFFSET

1,1

COMMENTS

Numbers n for which A258021(n) is not zero and A258201(n) is less than zero.

PROG

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

(define A258202 (MATCHING-POS 1 1 (lambda (n) (and (not (zero? (A258021 n))) (< (A258201 n) 0)))))

CROSSREFS

Subsequence of A258024.

Cf. A258021, A258201.

KEYWORD

allocated

nonn

AUTHOR

Antti Karttunen, May 26 2015

STATUS

approved

editing

#1 by Antti Karttunen at Sat May 23 14:49:25 EDT 2015

NAME

allocated for Antti Karttunen

KEYWORD

allocated

STATUS

approved