cp's OEIS Frontend

A186331 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 pentagonal numbers and the hexagonal numbers. Complement of A186330.

%I A186331 #6 Jan 09 2024 11:51:26
%S A186331 1,4,6,8,10,12,14,17,19,21,23,25,27,30,32,34,36,38,40,42,45,47,49,51,
%T A186331 53,55,58,60,62,64,66,68,70,73,75,77,79,81,83,86,88,90,92,94,96,98,
%U A186331 101,103,105,107,109,111,114,116,118,120,122,124,127,129,131,133,135,137,139,142,144,146,148,150,152,155,157,159,161,163,165,167,170,172
%N A186331 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 pentagonal numbers and the hexagonal numbers.  Complement of A186330.
%C A186331 Does this differ from A186329 only at a(1)? - _R. J. Mathar_, Jan 09 2024
%e A186331 First, write
%e A186331 1..5...12....22.....35......  (pentagonal)
%e A186331 1....6....15....28.......45.. (hexagonal)
%e A186331 Then replace each number by its rank, where ties are settled by ranking the pentagonal after the hexagonal:
%e A186331 a=(2,3,5,7,9,11,13,15,16,....)=A186330
%e A186331 b=(1,4,6,8,10,12,14,17,19,...)=A186331.
%t A186331 (See A186330.)
%Y A186331 Cf. A186328, A186329, A186330.
%K A186331 nonn
%O A186331 1,2
%A A186331 _Clark Kimberling_, Feb 17 2011