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A206910
Position of 2n+sin(n) when the sets {2k+cos(k)} and {2k+sin(k)} are jointly ranked.
2
2, 4, 6, 7, 9, 11, 13, 16, 18, 20, 21, 23, 25, 28, 30, 32, 33, 35, 37, 40, 42, 44, 45, 47, 49, 52, 54, 56, 58, 59, 61, 63, 66, 68, 70, 71, 73, 75, 78, 80, 82, 83, 85, 87, 90, 92, 94, 95, 97, 99, 101, 104, 106, 108, 109, 111, 113, 116, 118, 120, 121, 123, 125
OFFSET
1,1
MATHEMATICA
f[n_] := N[2 n + Cos[n]];
g[n_] := N[2 n + Sin[n]]; z = 120;
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}]] (* A206909 *)
Flatten[Table[q[n], {n, 1, z}]] (* A206910 *)
CROSSREFS
Cf. A206909.
Sequence in context: A287113 A278039 A076521 * A375496 A139529 A341291
KEYWORD
nonn
AUTHOR
Clark Kimberling, Feb 13 2012
STATUS
approved