A246412 - OEIS

%I #6 Aug 29 2014 19:13:22

%S 44,88,132,199,243,287,331,377,421,465,509,532,576,620,664,710,754,

%T 798,842,909,953,997,1041,1087,1131,1175,1219,1242,1286,1330,1374,

%U 1420,1464,1508,1552,1619,1663,1707,1751,1797,1841,1885,1929,1952,1996,2040,2084

%N Positive integers k satisfying csc(k) > csc(k+1) > csc(k+2) < csc(k+3).

%C A246410, A246411, and a(n) partition the positive integers.

%H Clark Kimberling, <a href="/A246412/b246412.txt">Table of n, a(n) for n = 1..1000</a>

%t z = 200; f[x_] := f[x] = Csc[x];

%t Select[Range[1, z], f[#] < f[# + 1] &] (*A246410*)

%t Select[Range[1, z], f[#] > f[# + 1] < f[# + 2] &] (*A246411*)

%t Select[Range[1, 10 z], f[#] > f[# + 1] > f[# + 2] < f[# + 3] &] (*A246412*)

%Y Cf. A246410, A246411.

%K nonn,easy

%O 1,1

%A _Clark Kimberling_, Aug 25 2014