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 A079088 #12 Apr 07 2025 09:51:14 %S A079088 2,4,6,8,8,6,12,16,18,20,10,8,16,20,20,20,16,8,24,18,16,40,32,18,12, %T A079088 24,32,32,16,28,32,24,32,32,36,12,8,32,36,32,48,48,24,12,54,24,24,48, %U A079088 32,24,64,48,36,32,36,60,64,16,8,16,24,32,64,24,8,16,12,24,48,24,48,72,32,32 %N A079088 Number of divisors of (prime(n)+1)*(prime(n+1)+1)/4. %H A079088 Reinhard Zumkeller, <a href="/A079088/b079088.txt">Table of n, a(n) for n = 1..10000</a> %F A079088 a(n) = A000005(A079079(n)). %t A079088 a[n_] := DivisorSigma[0, (Prime[n]+1) * (Prime[n+1]+1) / 4]; Array[a, 100] (* _Amiram Eldar_, Apr 06 2025 *) %o A079088 (Haskell) %o A079088 a079088 = a000005 . a079079 -- _Reinhard Zumkeller_, Oct 08 2012 %o A079088 (PARI) a(n) = numdiv((prime(n)+1)*(prime(n+1)+1)/4); \\ _Amiram Eldar_, Apr 06 2025 %Y A079088 Cf. A000005, A079079, A079085, A079086. %K A079088 nonn %O A079088 1,1 %A A079088 _Reinhard Zumkeller_, Dec 22 2002