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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 triangular numbers and octagonal numbers. Complement of A186159.
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%I #6 Mar 30 2012 18:57:18

%S 2,5,9,12,15,19,22,26,29,33,36,40,43,46,50,53,57,60,64,67,71,74,78,81,

%T 84,88,91,95,98,102,105,109,112,115,119,122,126,129,133,136,140,143,

%U 147,150,153,157,160,164,167,171,174,178,181,184,188,191,195,198,202,205,209,212,216,219,222,226,229,233,236,240,243,247,250,253,257,260,264,267,271,274,278,281,284,288,291,295,298,302,305,309,312,316,319,322,326,329,333,336,340,343

%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 triangular numbers and octagonal numbers. Complement of A186159.

%C See A186159.

%e First, write the triangular and octagonal numbers:

%e 1..3..6.....10..15..21..28

%e 1........8..........21......

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

%e a=(1,3,4,6,7,8,10,11,13,...)=A186159.

%e b=(2,5,9,12,15,19,22,26,...)=A186274.

%t (See A186159.)

%Y Cf. A186159, A186219.

%K nonn

%O 1,1

%A _Clark Kimberling_, Feb 16 2011