cp's OEIS Frontend

A186329 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 pentagonal numbers and the hexagonal numbers. Complement of A186328.

%I A186329 #13 Apr 16 2023 10:41:47
%S A186329 2,4,6,8,10,12,14,17,19,21,23,25,27,30,32,34,36,38,40,42,45,47,49,51,
%T A186329 53,55,58,60,62,64,66,68,70,73,75,77,79,81,83,86,88,90,92,94,96,98,
%U A186329 101,103,105,107,109,111,114,116,118,120,122,124,127,129,131,133,135,137,139,142,144,146,148
%N A186329 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 pentagonal numbers and the hexagonal numbers.  Complement of A186328.
%e A186329 First, write
%e A186329 1..5...12....22.....35......  (pentagonal)
%e A186329 1....6....15....28.......45.. (hexagonal)
%e A186329 Then replace each number by its rank, where ties are settled by ranking the pentagonal number before the hexagonal:
%e A186329 a=(1,3,5,7,9,11,13,15,16,....)=A186328
%e A186329 b=(2,4,6,8,10,12,14,17,19,...)=A186329.
%t A186329 (See A186328.)
%Y A186329 Cf. A186328, A186330, A186331.
%K A186329 nonn
%O A186329 1,1
%A A186329 _Clark Kimberling_, Feb 17 2011
%E A186329 Terms corrected by _Clark Kimberling_ and _R. J. Mathar_, Jun 07 2011