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%I #11 Dec 17 2024 13:01:19
%S 8,12,10,9,16,4,16,14,4,8,16,8,8,12,8,4,24,14,8,12,6,12,8,12,8,6,4,4,
%T 16,8,8,12,4,4,16,6,12,24,6,32,8,10,8,24,14,8,16,4,24,24,8,24,16,8,10,
%U 4,6,8,8,12,4,12,8,24,12,4,32,24,16,12,24,10,16,8,4
%N Number of divisors of prime(4*n+8) + 2*n + 3.
%e For n=1, 42 has a(1) = 8 divisors.
%t Table[DivisorSigma[0,(2*n+3+Prime[4*n+8])],{n,1,100}]
%o (Magma) [NumberOfDivisors(NthPrime(4*n+8)+(2*n+3)) : n in [1..500]];
%Y Cf. A000005, A378569.
%K nonn,new
%O 1,1
%A _Vincenzo Librandi_, Dec 09 2024