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.
%I A246301 #4 Aug 23 2014 08:50:52 %S A246301 4,11,17,23,29,36,42,48,55,61,67,73,80,86,92,99,105,111,117,124,130, %T A246301 136,143,149,155,161,168,174,180,186,193,199,205,212,218,224,230,237, %U A246301 243,249,256,262,268,274,281,287,293,300,306,312,318,325,331,337,344 %N A246301 Numbers k such that cos(k) < cos(k+1) < cos(k+2) > cos(k+3). %C A246301 The sequences A026311, A246300, A246301, A246302 partition the nonnegative integers. %H A246301 Clark Kimberling, <a href="/A246301/b246301.txt">Table of n, a(n) for n = 1..1000</a> %t A246301 z = 520; f[x_] := f[x] = Cos[x]; t = Range[0, z]; %t A246301 Select[t, f[#] > f[# + 1] &] (* A026311 *) %t A246301 Select[t, f[#] < f[# + 1] > f[# + 2] &] (* A246300 *) %t A246301 Select[t, f[#] < f[# + 1] < f[# + 2] > f[# + 3] &] (* A246301 *) %t A246301 Select[t, f[#] < f[# + 1] < f[# + 2] < f[# + 3] > f[# + 4] &] (* A246302 *) %Y A246301 Cf. A026311, A246300, A246302, A246295. %K A246301 nonn,easy %O A246301 1,1 %A A246301 _Clark Kimberling_, Aug 22 2014