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 A277093 Numbers k such that sin(k) > 0 and sin(k+2) > 0. 5
 1, 7, 13, 19, 26, 32, 38, 44, 45, 51, 57, 63, 70, 76, 82, 88, 89, 95, 101, 107, 114, 120, 126, 132, 133, 139, 145, 151, 158, 164, 170, 176, 177, 183, 189, 195, 202, 208, 214, 220, 221, 227, 233, 239, 246, 252, 258, 264, 265, 271, 277, 283, 290, 296, 302, 308 (list; graph; refs; listen; history; text; internal format)
 OFFSET 1,2 COMMENTS Guide to related sequences (a four-way splitting of the natural numbers): A277093: sin(k) > 0 and sin(k+2) > 0 A277094: sin(k) > 0 and sin(k+2) < 0 A277095: sin(k) < 0 and sin(k+2) > 0 A277096: sin(k) < 0 and sin(k+2) < 0 See A277136 for a related guide involving cosines. LINKS Clark Kimberling, Table of n, a(n) for n = 1..10000 FORMULA a(n) ~ kn, where k = 2/(1-2/Pi) = 5.50387..., by the equidistribution theorem. - Charles R Greathouse IV, Oct 01 2016 MATHEMATICA z = 400; f[x_] := Sin[x]; Select[Range[z], f[#] > 0 && f[# + 2] > 0 &] (* A277093 *) Select[Range[z], f[#] > 0 && f[# + 2] < 0 &] (* A277094 *) Select[Range[z], f[#] < 0 && f[# + 2] > 0 &] (* A277095 *) Select[Range[z], f[#] < 0 && f[# + 2] < 0 &] (* A277096 *) SequencePosition[Table[If[Sin[n]>0, 1, 0], {n, 400}], {1, _, 1}][[All, 1]] (* Requires Mathematica version 10 or later *) (* Harvey P. Dale, Jun 02 2018 *) PROG (PARI) is(n)=n%(2*Pi) < Pi-2 \\ Charles R Greathouse IV, Oct 01 2016 CROSSREFS Cf. A277094, A277095, A277096. Sequence in context: A260682 A184521 A123843 * A004082 A246294 A039281 Adjacent sequences:  A277090 A277091 A277092 * A277094 A277095 A277096 KEYWORD nonn,easy AUTHOR Clark Kimberling, Oct 01 2016 STATUS approved

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Last modified October 22 03:51 EDT 2018. Contains 316431 sequences. (Running on oeis4.)