A349383 - OEIS

%I #11 Nov 26 2021 21:07:35

%S 2,0,0,4,0,12,0,16,9,16,0,24,0,24,24,52,0,42,0,32,36,24,0,60,16,24,63,

%T 48,0,0,0,160,36,24,48,102,0,24,36,80,0,0,0,48,84,40,0,168,36,80,36,

%U 48,0,174,48,120,36,32,0,48,0,32,126,484,48,0,0,48,60,0,0,282,0,40,120,48,72,0,0,224,351,24,0,72,48

%N a(n) = A349381(n) + A349382(n).

%H Antti Karttunen, <a href="/A349383/b349383.txt">Table of n, a(n) for n = 1..20000</a>

%H <a href="/index/Pri#prime_indices">Index entries for sequences computed from indices in prime factorization</a>

%F a(1) = 2, and for n > 1, a(n) = -Sum_{d|n, 1<d<n} A349381(d)*A349382(n/d). [As the sequences are Dirichlet inverses of each other]

%o (PARI) A349383(n) = (A349381(n)+A349382(n)); \\ Needs also code from A349381 and A349382.

%Y Cf. A003961, A064989, A349381, A349382.

%Y Cf. also A349357.

%K nonn

%O 1,1

%A _Antti Karttunen_, Nov 17 2021