A208327 Position of f(n) when the numbers f(j) and g(k) are jointly ranked, where f(j)=j + |cos j | and g(k)=k + |sin k|.

1, 3, 6, 7, 9, 12, 14, 15, 18, 20, 21, 24, 26, 27, 30, 32, 33, 35, 38, 39, 41, 44, 45, 47, 50, 51, 53, 56, 58, 59, 62, 64, 65, 68, 70, 71, 74, 76, 77, 79, 82, 83, 85, 88, 89, 91, 94, 95, 97, 100, 102, 103, 106, 108, 109, 112, 114, 115, 118, 120, 121, 123, 126

Offset

1,2

Comments

For a guide to related sequences and a conjecture, see A206911.

Links

G. C. Greubel, Table of n, a(n) for n = 1..1000

Mathematica

f[n_] := N[n + Abs[Cos[n]]]; g[n_] := N[n + Abs[Sin[n]]]; z = 90;
c = Table[f[n], {n, 1, z}];
s = Table[g[n], {n, 1, z}];
j = Sort[Union[c, s]];
p[n_] := Position[j, f[n]];
q[n_] := Position[j, g[n]];
Flatten[Table[p[n], {n, 1, z}]]  (* A208327 *)
Flatten[Table[q[n], {n, 1, z}]]  (* A185392 *)

Crossrefs

Cf. A185392, A206911.

Sequence in context: A190335 A083951 A284879 * A131392 A131397 A176409

Adjacent sequences: A208324 A208325 A208326 * A208328 A208329 A208330

Keyword

nonn

Author

Clark Kimberling, Feb 26 2012

Status

approved