This is a front-end for the Online Encyclopedia of Integer Sequences, made by Christian Perfect. The idea is to provide OEIS entries in non-ancient HTML, and then to think about how they're presented visually. The source code is on GitHub.
%I A063716 #8 Feb 16 2024 06:32:21
%S A063716 2,10,16,27,24,60,20,61,57,84,36,167,24,108,144,100,36,191,36,251,162,
%T A063716 96,48,351,73,122,149,255,60,468,28,184,170,134,284,496,24,144,234,
%U A063716 485,60,526,36,339,415,114,60,616,83,303,210,285,48,493,294,585,210,144,96
%N A063716 Number of solutions (r,u,s,t), s>=t, in positive integers to the system of equations 1/r+1/u=1/n, 1/s+1/t=1/u.
%F A063716 a(n) = (tau(n^2) + Sum_{d|n^2} tau((n+d)^2))/2 = (A048691(n)+A063715(n))/2.
%e A063716 For n=2 we have 10 solutions (r,u,s,t), s>=t: (3,6,12,12), (3,6,15,10), (3,6,18,9), (3,6,24,8), (3,6,42,7), (4,4,8,8), (4,4,12,6), (4,4,20,5), (6,3,6,6), (6,3,12,4).
%Y A063716 Cf. A000005, A048691, A063715, A018892, A048691, A004194, A063520.
%K A063716 nonn
%O A063716 1,1
%A A063716 _Vladeta Jovovic_, Aug 10 2001