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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 (list; graph; refs; listen; history; text; internal format)
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

Table of n, a(n) for n=1..80.

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

Cf. A186219, A186539, A186541, A186542.

Sequence in context: A309095 A022843 A054088 * A059556 A248520 A247780

Adjacent sequences:  A186537 A186538 A186539 * A186541 A186542 A186543

KEYWORD

nonn

AUTHOR

Clark Kimberling, Feb 23 2011

STATUS

approved

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Last modified May 15 18:26 EDT 2021. Contains 343920 sequences. (Running on oeis4.)