cp's OEIS Frontend

This is a front-end for the Online Encyclopedia of Integer Sequences, made by Christian Perfect. The idea is to provide OEIS entries in non-ancient HTML, and then to think about how they're presented visually. The source code is on GitHub.

A246297 Numbers k such that sin(k) > sin(k+1) < sin(k+2).

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%I A246297 #17 May 18 2020 12:09:28
%S A246297 4,10,16,23,29,35,41,48,54,60,67,73,79,85,92,98,104,111,117,123,129,
%T A246297 136,142,148,155,161,167,173,180,186,192,198,205,211,217,224,230,236,
%U A246297 242,249,255,261,268,274,280,286,293,299,305,312,318,324,330,337,343
%N A246297 Numbers k such that sin(k) > sin(k+1) < sin(k+2).
%C A246297 The sequences A026309, A246297, A246298, A246299 partition the nonnegative integers.
%C A246297 Numbers like 20, 64, 108, 152,... are in none of these 4 sequences. - _R. J. Mathar_, May 18 2020
%H A246297 Clark Kimberling, <a href="/A246297/b246297.txt">Table of n, a(n) for n = 1..1000</a>
%t A246297 z = 500; f[x_] := f[x] = Sin[x]; t = Range[0, z];
%t A246297 Select[t, f[#] < f[# + 1] &]  (* A026309 *)
%t A246297 Select[t, f[#] > f[# + 1] < f[# + 2] &]  (* A246297 *)
%t A246297 Select[t, f[#] > f[# + 1] > f[# + 2] < f[# + 3] &]  (* A246298 *)
%t A246297 Select[t, f[#] > f[# + 1] > f[# + 2] > f[# + 3] < f[# + 4] &] (* A246299 *)
%Y A246297 Cf. A026309, A246298, A246299, A246293 (complement of A026309).
%K A246297 nonn,easy
%O A246297 1,1
%A A246297 _Clark Kimberling_, Aug 21 2014
%E A246297 Corrected signs in NAME. - _R. J. Mathar_, May 18 2020