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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 heptagonal numbers. Complement of A186322.
4

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

%S 1,4,7,9,12,14,17,20,22,25,27,30,33,35,38,40,43,45,48,51,53,56,58,61,

%T 64,66,69,71,74,76,79,82,84,87,89,92,95,97,100,102,105,107,110,113,

%U 115,118,120,123,125,128,131,133,136,138,141,144,146,149,151,154,156,159,162,164,167,169,172,175,177,180,182,185,187,190,193,195,198,200,203,206,208,211,213

%N 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 heptagonal numbers. Complement of A186322.

%e First, write

%e 1..4...9..16....25...36...49...64.. (squares)

%e 1....7.......18....34........55.... (heptagonal)

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

%e a=(2,3,5,6,8,10,11,13,...)=A186322

%e b=(1,4,7,9,12,15,17,20,...)=A186323.

%t (See A186322.)

%Y Cf. A186320, A186321, A186322.

%K nonn

%O 1,2

%A _Clark Kimberling_, Feb 17 2011