cp's OEIS Frontend

A186357 Adjusted joint rank sequence of (f(i)) and (g(j)) with f(i) after g(j) when f(i)=g(j), where f(i)=3i and g(j)=j(j+1)/2 (triangular number). Complement of A186357.

%I A186357 #4 Mar 30 2012 18:57:18
%S A186357 1,2,4,7,9,12,16,19,23,28,32,37,43,48,54,61,67,74,82,89,97,106,114,
%T A186357 123,133,142,152,163,173,184,196,207,219,232,244,257,271,284,298,313,
%U A186357 327,342,358,373,389,406,422,439,457,474,492,511,529,548,568,587,607,628,648,669,691,712,734,757,779,802,826,849,873,898,922,947,973,998,1024,1051,1077,1104,1132,1159,1187,1216,1244,1273,1303,1332,1362,1393,1423,1454
%N A186357 Adjusted joint rank sequence of (f(i)) and (g(j)) with f(i) after g(j) when f(i)=g(j), where f(i)=3i and g(j)=j(j+1)/2 (triangular number).  Complement of A186357.
%e A186357 First, write
%e A186357 ...3..6..9....12..15..18..21..24.. (3*i)
%e A186357 1..3..6....10.....15......21.... (triangular)
%e A186357 Then replace each number by its rank, where ties are settled by ranking 3i after the triangular:
%e A186357 a=(3,5,6,8,10,11,13,14,15,..)=A186356
%e A186357 b=(1,2,4,7,9,12,16,19,23,...)=A186357.
%t A186357 (See A186556.)
%Y A186357 Cf. A186554, A186555, A186556.
%K A186357 nonn
%O A186357 1,2
%A A186357 _Clark Kimberling_, Feb 18 2011