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 A355516 #7 Dec 22 2024 10:52:43
%S A355516 1,2,5,11,29,70,164,392,933
%N A355516 a(n) is the number of distinct integer values of Product_{k=1..n} (2 + 1/t_k) with integers t_k > 1.
%e A355516 a(2) = 1: The only representable integer is 5 = (2 + 1/3) * (2 + 1/7).
%e A355516 a(3) = 2: 9 and 11 can be represented; 9 = (2 + 1/9) * (2 + 1/13) * (2 + 1/19) and 10 other ways; 11 = (2 + 1/3)*(2 + 1/5)*(2 + 1/7) = (2 + 1/3)^2 * (2 + 1/49).
%o A355516 (PARI) \\ See link in A355626.
%Y A355516 A355626 provides more information.
%Y A355516 A355628 same problem with factors (3 + 1/t_k).
%Y A355516 Cf. A355243.
%K A355516 nonn,hard,more
%O A355516 2,2
%A A355516 _Hugo Pfoertner_ and _Markus Sigg_, Jul 16 2022