

A186540


Adjusted joint rank sequence of (f(i)) and (g(j)) with f(i) before g(j) when f(i)=g(j), where f(i)=i^2 and g(j)=2+3j^2. Complement of A186539.


3



2, 5, 8, 10, 13, 16, 19, 21, 24, 27, 30, 32, 35, 38, 40, 43, 46, 49, 51, 54, 57, 60, 62, 65, 68, 71, 73, 76, 79, 81, 84, 87, 90, 92, 95, 98, 101, 103, 106, 109, 112, 114, 117, 120, 122, 125, 128, 131, 133, 136, 139, 142, 144, 147, 150, 152, 155, 158, 161, 163, 166, 169, 172, 174, 177, 180, 183, 185, 188, 191, 193, 196, 199, 202, 204, 207, 210, 213, 215, 218
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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


LINKS



FORMULA

b(n)=n+floor(sqrt((1/3)n^2+1/24))=A186539(n).
a(n)=n+floor(sqrt(3n^23/2)).


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



CROSSREFS



KEYWORD

nonn


AUTHOR



STATUS

approved



