cp's OEIS Frontend

A186237 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 triangular numbers (A000217) and heptagonal numbers (A000566). Complement of A186238.

%I A186237 #9 Sep 25 2021 06:47:22
%S A186237 2,3,4,6,7,9,10,12,13,15,16,17,19,20,22,23,25,26,28,29,30,32,33,35,36,
%T A186237 38,39,41,42,43,45,46,48,49,51,52,54,55,56,58,59,61,62,64,65,67,68,69,
%U A186237 71,72,74,75,77,78,80,81,83,84,85,87,88,90,91,93,94,96,97,98,100,101,103,104,106,107,109,110,111,113,114,116,117,119,120,122,123,124,126,127,129,130,132,133,135,136,138,139,140,142,143,145
%N A186237 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 triangular numbers (A000217) and heptagonal numbers (A000566).  Complement of A186238.
%e A186237 See A186227.
%t A186237 (* adjusted joint ranking; general formula *)
%t A186237 d=-1/2; u=1/2; v=1/2; w=0; x=5/2; y=-3/2; z=0;
%t A186237 h[n_]:=-y+(4x(u*n^2+v*n+w-z-d)+y^2)^(1/2);
%t A186237 a[n_]:=n+Floor[h[n]/(2x)];
%t A186237 k[n_]:=-v+(4u(x*n^2+y*n+z-w+d)+v^2)^(1/2);
%t A186237 b[n_]:=n+Floor[k[n]/(2u)];
%t A186237 Table[a[n],{n,1,100}] (* A186237 *)
%t A186237 Table[b[n],{n,1,100}] (* A186238 *)
%Y A186237 Cf. A000217, A000566, A186227, A186228, A186238.
%K A186237 nonn
%O A186237 1,1
%A A186237 _Clark Kimberling_, Feb 16 2011
%E A186237 Definition corrected by _Georg Fischer_, Sep 24 2021