A186289 - OEIS

%I #4 Mar 30 2012 18:57:18

%S 2,4,6,8,10,13,15,17,19,22,24,26,28,30,33,35,37,39,42,44,46,48,50,53,

%T 55,57,59,62,64,66,68,70,73,75,77,79,82,84,86,88,91,93,95,97,99,102,

%U 104,106,108,111,113,115,117,119,122,124,126,128,131,133,135,137,139,142,144,146,148,151,153,155,157,159,162,164,166,168,171,173,175,177,180,182,184,186,188,191,193,195,197,200

%N 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 squares and pentagonal numbers.  Complement of A186289.

%C See A186288.

%e First, write

%e 1..4...9....16....25..36..49..... (squares

%e 1....5...12....22....35......51.. (pentagonal)

%e Replace each number by its rank, where ties are settled by ranking the square number before the pentagonal:

%e a=(1,3,5,7,9,11,12,14,....)=A186288.

%e b=(2,4,6,8,10,13,15,17,...)=A186289.

%t (See A186288.)

%Y Cf. A186288, A186290, A186291.

%K nonn

%O 1,1

%A _Clark Kimberling_, Feb 17 2011