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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

%I #7 Mar 30 2012 18:57:19

%S 2,5,8,10,13,16,19,21,24,27,30,32,35,38,40,43,46,49,51,54,57,60,62,65,

%T 68,71,73,76,79,81,84,87,90,92,95,98,101,103,106,109,112,114,117,120,

%U 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

%N 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.

%C See A186219 for a discussion of adjusted joint rank sequences.

%C Does this differ from A054088? The first 42000 entries of both sequences at least are the same. - R. J. Mathar, Feb 25 2011

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

%F a(n)=n+floor(sqrt(3n^2-3/2)).

%e First, write

%e 1..4..9..16..25..36..49..i^2)

%e .......10....25....46.. (-2+3j^2)

%e Then replace each number by its rank, where ties are settled by ranking i^2 before -2+3j^2:

%e b=(1,3,4,6,7,9,11,12,14,15,17,18,..)=A186539

%e a=(2,5,8,10,13,16,19,21,24,27,30...).

%t (See A186539.)

%Y Cf. A186219, A186539, A186541, A186542.

%K nonn

%O 1,1

%A _Clark Kimberling_, Feb 23 2011

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Last modified March 28 10:55 EDT 2024. Contains 371241 sequences. (Running on oeis4.)