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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 pentagonal numbers and the octagonal numbers. Complement of A186342.
4

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

%S 2,4,6,9,11,14,16,19,21,23,26,28,31,33,35,38,40,43,45,47,50,52,55,57,

%T 60,62,64,67,69,72,74,76,79,81,84,86,89,91,93,96,98,101,103,105,108,

%U 110,113,115,117,120,122,125,127,130,132,134,137,139,142,144,146,149,151,154,156,159,161,163,166,168,171,173,175,178,180,183,185,188,190,192,195,197,200,202,204,207

%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 pentagonal numbers and the octagonal numbers. Complement of A186342.

%e First, write

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

%e 1....8....21........40.. (octagonal)

%e Then replace each number by its rank, where ties are settled by ranking the pentagonal number before the octagonal:

%e a=(1,3,5,7,8,10,12,13,15,...)=A186342

%e b=(2,4,6,9,11,14,16,19,21,...)=A186343.

%t (See A186342.)

%Y Cf. A186342, A186344, A186345.

%K nonn

%O 1,1

%A _Clark Kimberling_, Feb 18 2011