cp's OEIS Frontend

A186291 Adjusted joint rank sequence of (f(i)) and (g(j)) with f(i) after g(j) when f(i)=g(j), where f and g are the squares and pentagonal numbers. Complement of A186290.

%I A186291 #8 Feb 12 2025 03:14:03
%S A186291 1,4,6,8,10,13,15,17,19,22,24,26,28,30,33,35,37,39,42,44,46,48,50,53,
%T A186291 55,57,59,62,64,66,68,70,73,75,77,79,82,84,86,88,91,93,95,97,99,102,
%U A186291 104,106,108,111,113,115,117,119,122,124,126,128,131,133,135,137,139,142,144,146,148,151,153,155,157,159,162,164,166,168,171,173,175,177,179,182,184,186,188,191,193,195,197,200
%N A186291 Adjusted joint rank sequence of (f(i)) and (g(j)) with f(i) after g(j) when f(i)=g(j), where f and g are the squares and pentagonal numbers. Complement of A186290.
%e A186291 First, write
%e A186291 1..4...9....16....25..36..49..... (squares)
%e A186291 1....5...12....22....35......51.. (pentagonal)
%e A186291 Replace each number by its rank, where ties are settled by ranking the square number after the pentagonal:
%e A186291 a=(2,3,5,7,9,11,12,14,....)=A186290.
%e A186291 b=(1,4,6,8,10,13,15,17,...)=A186291.
%t A186291 (See A186290.)
%Y A186291 Cf. A186219, A186288, A186289, A186291.
%K A186291 nonn
%O A186291 1,2
%A A186291 _Clark Kimberling_, Feb 17 2011