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 A062962 #17 Feb 21 2024 01:19:32
%S A062962 1,1,2,4,12,40,160,792,9408,783360,55987200,35610624000,
%T A062962 269007298560000
%N A062962 Number of divisors of n-th term of sequence a(n+1) = a(n)*(a(0) + ... + a(n)) (A001697).
%F A062962 a(n) = A000005(A001697(n)). - _Amiram Eldar_, Feb 17 2019
%t A062962 a[0] = 1; a[1] = 1; a[n_] := a[n] = a[n - 1]^2*(1 + 1/a[n - 2]); Table[DivisorSigma[0, a[n]], {n, 0, 10}] (* _Amiram Eldar_, Feb 17 2019 after Jean-François Alcover at A001697 *)
%o A062962 (PARI) a(n)=if(n<2,n >= 0,a(n-1)^2*(1+1/a(n-2)));
%o A062962 for(n=0,11,print1(numdiv(a(n)), ", "))
%Y A062962 Cf. A000005, A001697.
%K A062962 nonn,hard,more
%O A062962 0,3
%A A062962 _Jason Earls_, Jul 22 2001
%E A062962 a(11) from _Amiram Eldar_, Feb 17 2019
%E A062962 a(12) from _Max Alekseyev_, Feb 20 2024