cp's OEIS Frontend

A186498 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-2 and g(j)=j-th triangular number. Complement of A186497.

%I A186498 #12 May 15 2017 14:57:47
%S A186498 2,3,5,8,10,13,17,20,24,29,33,38,44,49,55,62,68,75,83,90,98,107,115,
%T A186498 124,134,143,153,164,174,185,197,208,220,233,245,258,272,285,299,314,
%U A186498 328,343,359,374,390,407,423,440,458,475,493,512,530,549,569,588,608,629,649,670,692,713,735,758,780,803,827,850,874,899,923,948,974,999,1025,1052,1078,1105,1133,1160,1188,1217,1245,1274,1304
%N A186498 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-2 and g(j)=j-th triangular number.  Complement of A186497.
%e A186498 First, write
%e A186498 1..4..7.10..13..16..19..22..25..28..31. (3i-2),
%e A186498 1.3..6..10....15.......21.......28.....(j(j+1)/2).
%e A186498 Then replace each number by its rank, where ties are settled by ranking 3i-2 before j(j+1)/2:
%e A186498 a=(1,4,6,7,9,11,12,14,15,16,18,...)=A186497,
%e A186498 b=(2,3,5,8,10,13,17,20,24,29,33,..)=A186498.
%t A186498 (See A186497.)
%Y A186498 Cf. A186350, A186497, A186499, A186500.
%K A186498 nonn
%O A186498 1,1
%A A186498 _Clark Kimberling_, Feb 22 2011