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A207673 n+[nr/s]+[nt/s], where []=floor, r=5, s=(1+sqrt(5))/2, t=1/s. 3
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 (list; graph; refs; listen; history; text; internal format)
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
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
Sequence in context: A311854 A311855 A172325 * A311856 A311857 A311858
KEYWORD
nonn
AUTHOR
Clark Kimberling, Feb 26 2012
EXTENSIONS
Definition corrected by Georg Fischer, Jun 10 2020
STATUS
approved

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Last modified July 12 10:18 EDT 2024. Contains 374244 sequences. (Running on oeis4.)