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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 hexagonal numbers. Complement of A186317.
4

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

%S 1,4,6,9,11,14,16,18,21,23,26,28,31,33,35,38,40,43,45,47,50,52,55,57,

%T 59,62,64,67,69,72,74,76,79,81,84,86,88,91,93,96,98,101,103,105,108,

%U 110,113,115,117,120,122,125,127,130,132,134,137,139,142,144,146,149,151,154,156,158,161,163,166,168,171,173,175,178,180,183,185,187,190,192,195,197,200

%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 hexagonal numbers. Complement of A186317.

%e First, write

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

%e 1....6...15.......28....45.... (hexagonal)

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

%e a=(2,3,5,7,8,10,12,13,...)=A186317.

%e b=(1,4,6,9,11,14,16,18,...)=A186318.

%t (See A186317.)

%Y Cf. A186315, A186316, A186318.

%K nonn

%O 1,2

%A _Clark Kimberling_, Feb 17 2011