OFFSET
1,2
COMMENTS
See A186219 for a discussion of adjusted joint rank sequences.
EXAMPLE
MATHEMATICA
(* adjusted joint ranking; general formula *)
d=1/2; u=1; v=0; w=0; x=2; y=-1; z=0;
h[n_]:=-y+(4x(u*n^2+v*n+w-z-d)+y^2)^(1/2);
a[n_]:=n+Floor[h[n]/(2x)];
k[n_]:=-v+(4u(x*n^2+y*n+z-w+d)+v^2)^(1/2);
b[n_]:=n+Floor[k[n]/(2u)];
Table[a[n], {n, 1, 100}] (* A186315 *)
Table[b[n], {n, 1, 100}] (* A186316 *)
CROSSREFS
KEYWORD
nonn
AUTHOR
Clark Kimberling, Feb 17 2011
STATUS
approved