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 A246410 Positive integers k satisfying csc(k) < csc(k+1). 4
 2, 4, 6, 8, 10, 12, 14, 16, 18, 20, 22, 23, 25, 27, 29, 31, 33, 35, 37, 39, 41, 43, 46, 48, 50, 52, 54, 56, 58, 60, 62, 64, 66, 67, 69, 71, 73, 75, 77, 79, 81, 83, 85, 87, 90, 92, 94, 96, 98, 100, 102, 104, 106, 108, 110, 111, 113, 115, 117, 119, 121, 123 (list; graph; refs; listen; history; text; internal format)
 OFFSET 1,1 COMMENTS Every positive integer is in exactly one of the sequences A246410, A246411, and A246412. LINKS Clark Kimberling, Table of n, a(n) for n = 1..1000 MATHEMATICA z = 200; f[x_] := f[x] = Csc[x]; Select[Range[1, z], f[#] < f[# + 1] &] (*A246410*) Select[Range[1, z], f[#] > f[# + 1] < f[# + 2] &] (*A246411*) Select[Range[1, 10 z], f[#] > f[# + 1] > f[# + 2] < f[# + 3] &] (*A246412*) CROSSREFS Cf. A246411, A246412, A246413 (complement of a(n)). Sequence in context: A214673 A055962 A337718 * A195169 A338922 A055964 Adjacent sequences: A246407 A246408 A246409 * A246411 A246412 A246413 KEYWORD nonn,easy AUTHOR Clark Kimberling, Aug 25 2014 STATUS approved

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Last modified August 6 18:55 EDT 2024. Contains 374981 sequences. (Running on oeis4.)