OFFSET
1,1
COMMENTS
See A186219 for a discussion of adjusted joint rank sequences.
Does this differ from A054088? The first 42000 entries of both sequences at least are the same. - R. J. Mathar, Feb 25 2011
FORMULA
b(n) = n+floor(sqrt((1/3)n^2+1/24)) = A186539(n).
a(n) = n+floor(sqrt(3n^2-3/2)).
EXAMPLE
First, write
1..4..9..16..25..36..49.. (i^2)
.......10....25....46.. (-2+3j^2)
Then replace each number by its rank, where ties are settled by ranking i^2 before -2+3j^2:
b=(1,3,4,6,7,9,11,12,14,15,17,18,..)=A186539
a=(2,5,8,10,13,16,19,21,24,27,30...).
MATHEMATICA
(* See A186539 *)
CROSSREFS
KEYWORD
nonn,changed
AUTHOR
Clark Kimberling, Feb 23 2011
STATUS
approved