A207673 - OEIS

A207673

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

4, 8, 13, 17, 21, 26, 30, 35, 39, 43, 48, 53, 57, 62, 66, 71, 75, 79, 84, 88, 93, 97, 102, 107, 111, 115, 120, 124, 129, 133, 137, 142, 146, 151, 156, 160, 165, 169, 173, 178, 182, 187, 191, 195, 201, 205, 209, 214, 218, 223, 227, 231, 236, 240, 245

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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..55.

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