

A186542


Adjusted joint rank sequence of (f(i)) and (g(j)) with f(i) after g(j) when f(i)=g(j), where f(i)=i^2 and g(j)=2+3j^2. Complement of A186541.


4



1, 5, 7, 10, 13, 16, 19, 21, 24, 27, 29, 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, 111, 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, 221, 224, 226, 229, 232, 234, 237, 240
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OFFSET

1,2


COMMENTS

See A186219 for a discussion of adjusted joint rank sequences.


LINKS



FORMULA

a(n)=n+floor(sqrt((1/3)n^2+5/6))=A186541(n).
b(n)=n+floor(sqrt(3n^25/2))=A186542(n).


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 after 2+3j^2:
a=(2,3,4,6,8,9,11,12,14,15,17,18,..)=A186541
b=(1,5,7,10,13,16,19,21,24,27,29...)=A186542.


MATHEMATICA



CROSSREFS



KEYWORD

nonn


AUTHOR



STATUS

approved



