A208326 n + [nr/t] + [ns/t], where []=floor, r=5, s=(1+sqrt(5))/2, t=1/s.

11, 23, 34, 46, 58, 69, 81, 92, 104, 116, 127, 140, 152, 163, 175, 186, 198, 210, 221, 233, 244, 256, 269, 280, 292, 304, 315, 327, 338, 350, 362, 373, 385, 398, 409, 421, 432, 444, 456, 467, 479, 490, 502, 514, 526, 538, 550, 561, 573, 584, 596

Offset

1,1

Comments

The sequences A207672, A207673, A208326 partition the positive integers. To generate them, jointly rank the sets {i/r}, {j/s}, {k*s}. The positions of n/r in the joint ranking form A207672, and likewise for the other sequences.

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

Links

Table of n, a(n) for n=1..51.

Mathematica

r = 5; s = GoldenRatio; t = 1/s;
a[n_] := n + Floor[n*s/r] + Floor[n*t/r];
b[n_] := n + Floor[n*r/s] + Floor[n*t/s];
c[n_] := n + Floor[n*r/t] + Floor[n*s/t];
Table[a[n], {n, 1, 60}]  (* A207672 *)
Table[b[n], {n, 1, 60}]  (* A207673 *)
Table[c[n], {n, 1, 60}]  (* A208326 *)

Crossrefs

Cf. A206911, A207672, A207673.

Sequence in context: A126330 A090506 A250215 * A097657 A041234 A041549

Adjacent sequences: A208323 A208324 A208325 * A208327 A208328 A208329

Keyword

nonn

Author

Clark Kimberling, Feb 26 2012

Status

approved