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 A186351 #7 Jul 22 2013 00:59:17 %S A186351 2,4,6,9,13,17,21,26,32,38,44,51,59,67,75,84,94,104,114,125,137,149, %T A186351 161,174,188,202,216,231,247,263,279,296,314,332,350,369,389,409,429, %U A186351 450,472,494,516,539,563,587,611,636,662,688,714,741,769,797,825,854,884,914,944,975,1007,1039,1071,1104,1138,1172,1206,1241,1277,1313,1349,1386,1424,1462,1500 %N A186351 Adjusted joint rank sequence of (f(i)) and (g(j)) with f(i) before g(j) when f(i)=g(j), where f and g are the odd numbers and the triangular numbers. Complement of A186350. %C A186351 See A186350. %F A186351 See A186350. %e A186351 First, write %e A186351 1..3..5..7..9..11..13..15..17..21..23.. (odds) %e A186351 1..3....6.....10.......15......21.... (triangular) %e A186351 Then replace each number by its rank, where ties are settled by ranking the odd number before the triangular: %e A186351 a = (1,3,5,7,8,10,11,12,14,....) = A186350 %e A186351 b = (2,4,6,9,13,17,21,26,32,...) = A186351. %t A186351 (See A186350.) %Y A186351 Cf. A186350, A186352, A186353, A227687. %K A186351 nonn %O A186351 1,1 %A A186351 _Clark Kimberling_, Feb 18 2011