OFFSET
1,1
COMMENTS
A184924: 6,14,21,28,37,44,52,59,...
A184925: 3,8,11,17,20,25,30,34,...
A184926: 2,5,9,12,15,19,23,26,29,...
A184927: 1,4,7,10,13,16,18,22,24,...
Jointly rank the sets {h*r}, {i*s}, {j*t}, {k*u},
where h>=1, i>=1, j>=1, k>=1. The position of n*r in the joint ranking is n+[sn/r]+[tn/r]+[un/r], and likewise for the positions of n*s, n*t, and n*u.
MATHEMATICA
r=1; s=3^(1/2); t=5^(1/2); u=7^(1/2);
a[n_]:=n+Floor[n*s/r]+Floor[n*t/r]+Floor[n*u/r];
b[n_]:=n+Floor[n*r/s]+Floor[n*t/s]+Floor[n*u/s];
c[n_]:=n+Floor[n*r/t]+Floor[n*s/t]+Floor[n*u/t];
d[n_]:=n+Floor[n*r/u]+Floor[n*s/u]+Floor[n*t/u];
Table[a[n], {n, 1, 120}] (* A184924 *)
Table[b[n], {n, 1, 120}] (* A184925 *)
Table[c[n], {n, 1, 120}] (* A184926 *)
Table[d[n], {n, 1, 120}] (* A184927 *)
CROSSREFS
KEYWORD
nonn
AUTHOR
Clark Kimberling, Jan 26 2011
STATUS
approved