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%I #10 Jul 22 2020 11:47:14
%S 1,3,5,7,10,13,16,20,24,28,33,38,43,49,55,61,68,75,82,90,98,106,115,
%T 124,133,143,153,163,174,185,196,208,220,232,245,258,271,285,299,313,
%U 328,343,358,374,390,406,423,440,457,475,493,511,530,549,568,588,608,628,649,670,691,713,735,757,780,803,826,850,874,898,923,948,973,999,1025,1051,1078,1105,1132,1160,1188,1216,1245,1274,1303
%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)=3i and g(j)=j(j+1)/2 (triangular number). Complement of A186354.
%C See A186554.
%C Does this differ (apart from the additional 1) from A089108? - R. J. Mathar, Feb 25 2011
%e First, write
%e ...3..6..9....12..15..18..21..24.. (3*i)
%e 1..3..6....10.....15......21.... (triangular)
%e Then replace each number by its rank, where ties are settled by ranking 3i before the triangular:
%e a=(2,4,6,8,9,11,12,14,15,17,....)=A186354
%e b=(1,3,5,7,10,13,16,20,24,28,...)=A186355.
%t (See A186554.)
%Y Cf. A186554, A186556, A186557.
%K nonn
%O 1,2
%A _Clark Kimberling_, Feb 18 2011
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