cp's OEIS Frontend

A246296 Numbers k such that sin(k) < sin(k+1) < sin(k+2) < sin(k+3) > sin(k+4).

%I A246296 #10 May 18 2020 12:07:12
%S A246296 5,11,17,24,30,36,43,49,55,61,68,74,80,87,93,99,105,112,118,124,131,
%T A246296 137,143,149,156,162,168,174,181,187,193,200,206,212,218,225,231,237,
%U A246296 244,250,256,262,269,275,281,288,294,300,306,313,319,325,332,338,344
%N A246296 Numbers k such that sin(k) < sin(k+1) < sin(k+2) < sin(k+3) > sin(k+4).
%C A246296 The sequences A246293, A246294, A246295, A246296 partition the nonnegative integers.
%C A246296 Numbers like 42, 86, 130, 199, 243, 287,.. are in none of these 4 sequences. - _R. J. Mathar_, May 18 2020
%H A246296 Clark Kimberling, <a href="/A246296/b246296.txt">Table of n, a(n) for n = 1..1000</a>
%t A246296 z = 500; f[x_] := f[x] = Sin[x]; t = Range[0, z];
%t A246296 Select[t, f[#] > f[# + 1] &]  (* A246293 *)
%t A246296 Select[t, f[#] < f[# + 1] > f[# + 2] &]  (* A246294 *)
%t A246296 Select[t, f[#] < f[# + 1] < f[# + 2] > f[# + 3] &]  (* A246295 *)
%t A246296 Select[t, f[#] < f[# + 1] < f[# + 2] < f[# + 3] > f[# + 4] &] (* A246296 *)
%Y A246296 Cf. A246293, A246294, A246295, A026309 (complement of A246293).
%K A246296 nonn,easy
%O A246296 1,1
%A A246296 _Clark Kimberling_, Aug 21 2014