cp's OEIS Frontend

A186289 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 A186288.

%I A186289 #9 Feb 12 2025 03:15:07
%S A186289 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 A186289 55,57,59,62,64,66,68,70,73,75,77,79,82,84,86,88,91,93,95,97,99,102,
%U A186289 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 A186289 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 A186288.
%C A186289 See A186288.
%e A186289 First, write
%e A186289 1..4...9....16....25..36..49..... (squares)
%e A186289 1....5...12....22....35......51.. (pentagonal)
%e A186289 Replace each number by its rank, where ties are settled by ranking the square number before the pentagonal:
%e A186289 a=(1,3,5,7,9,11,12,14,....)=A186288.
%e A186289 b=(2,4,6,8,10,13,15,17,...)=A186289.
%t A186289 (See A186288.)
%Y A186289 Cf. A186288, A186290, A186291.
%K A186289 nonn
%O A186289 1,1
%A A186289 _Clark Kimberling_, Feb 17 2011