This is a front-end for the Online Encyclopedia of Integer Sequences, made by Christian Perfect. The idea is to provide OEIS entries in non-ancient HTML, and then to think about how they're presented visually. The source code is on GitHub.
%I A186390 #4 Mar 30 2012 18:57:18 %S A186390 1,2,3,5,7,9,11,13,16,19,21,24,28,31,34,38,42,46,50,54,59,64,68,73,79, %T A186390 84,89,95,101,107,113,119,126,133,139,146,154,161,168,176,184,192,200, %U A186390 208,217,226,234,243,253,262,271,281,291,301,311,321,332,343,353,364,376,387,398,410,422,434,446,458,471,484,496,509,523,536,549,563,577,591,605,619,634,649,663,678,694,709 %N A186390 Adjusted joint rank sequence of (f(i)) and (g(j)) with f(i) after g(j) when f(i)=g(j), where f(i)=6i and g(j)=j(j+1)/2 (triangular number). Complement of A186389. %e A186390 First, write %e A186390 ......6.....12..18....24..30. (6i) %e A186390 1..3..6..10...15...21...28... (triangular) %e A186390 Then replace each number by its rank, where ties are settled by ranking 6i after the triangular: %e A186390 a=(4,6,8,10,12,14,15,17,...)=A186389 %e A186390 b=(1,2,3,5,7,9,11,13,16,...)=A186390. %t A186390 (See A186389.) %Y A186390 Cf. A186387, A186388, A185390. %K A186390 nonn %O A186390 1,2 %A A186390 _Clark Kimberling_, Feb 19 2011