login

Year-end appeal: Please make a donation to the OEIS Foundation to support ongoing development and maintenance of the OEIS. We are now in our 61st year, we have over 378,000 sequences, and we’ve reached 11,000 citations (which often say “discovered thanks to the OEIS”).

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 squares and heptagonal numbers. Complement of A186320.
4

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

%S 2,4,7,9,12,15,17,20,22,25,27,30,33,35,38,40,43,45,48,51,53,56,58,61,

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

%U 115,118,120,123,126,128,131,133,136,138,141,144,146,149,151,154,156,159,162,164,167,169,172,175,177,180,182,185,187,190,193,195,198,200

%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 squares and heptagonal numbers. Complement of A186320.

%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 before the heptagonal:

%e a=(1,3,5,6,8,10,11,13,...)=A186320

%e b=(2,4,7,9,12,15,17,20,...)=A186321.

%t (See A186320.)

%Y Cf. A186320, A186322, A186323.

%K nonn

%O 1,1

%A _Clark Kimberling_, Feb 17 2011