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Number of prime divisors of (A019565(n) - 1), counted with multiplicity.
5

%I #5 Dec 19 2020 07:59:32

%S 0,1,1,2,2,2,1,2,1,3,1,2,2,4,2,2,2,5,2,4,1,3,2,3,3,3,1,8,1,2,1,3,2,2,

%T 2,6,2,2,1,4,1,5,2,2,3,4,1,2,3,3,1,4,1,6,1,6,3,3,2,5,1,2,1,4,2,3,1,4,

%U 2,2,1,2,2,3,2,5,2,4,2,3,1,6,2,2,3,3,2,4,1,3,1,5,2,2,2,4,4,2,3,6,2,2,2,2,2

%N Number of prime divisors of (A019565(n) - 1), counted with multiplicity.

%H Antti Karttunen, <a href="/A339812/b339812.txt">Table of n, a(n) for n = 1..65537</a>

%F a(n) = A001222(A339809(n)) = A001222(A019565(n)-1).

%F a(n) = A001222(A339810(n)).

%o (PARI)

%o A019565(n) = { my(m=1, p=1); while(n>0, p = nextprime(1+p); if(n%2, m *= p); n >>= 1); (m); };

%o A339812(n) = bigomega(A019565(n)-1);

%Y Cf. A001222, A019565, A339809, A339810.

%K nonn

%O 1,4

%A _Antti Karttunen_, Dec 18 2020