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

1,2

COMMENTS

See A186219 for a discussion of adjusted joint rank sequences.

LINKS

Table of n, a(n) for n=1..88.

FORMULA

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

b(n)=n+floor(sqrt(3n^2-5/2))=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

(See A186541.)

CROSSREFS

Cf. A186219, A186539, A186540, A186541.

Sequence in context: A179196 A024325 A060873 * A287444 A196175 A112251

Adjacent sequences:  A186539 A186540 A186541 * A186543 A186544 A186545

KEYWORD

nonn

AUTHOR

Clark Kimberling, Feb 23 2011

STATUS

approved

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Last modified September 17 16:32 EDT 2021. Contains 347487 sequences. (Running on oeis4.)