OFFSET
1,1
COMMENTS
See A186350 for a discussion of adjusted joint rank sequences.
EXAMPLE
MATHEMATICA
(* adjusted joint rank sequences a and b, using general formula for ranking 1st degree u*n+v and 2nd degree x*n^2+y*n+z *)
d=-1/2; u=6; v=0; x=1/2; y=1/2; (* 6i and triangular *)
h[n_]:=(-y+(4x(u*n+v-d)+y^2)^(1/2))/(2x);
a[n_]:=n+Floor[h[n]]; (* rank of u*n+v *)
k[n_]:=(x*n^2+y*n-v+d)/u;
b[n_]:=n+Floor[k[n]]; (* rank of x*n^2+y*n+d *)
Table[a[n], {n, 1, 120}] (* A186389 *)
Table[b[n], {n, 1, 100}] (* A186390 *)
CROSSREFS
KEYWORD
nonn
AUTHOR
Clark Kimberling, Feb 19 2011
STATUS
approved