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Inverse Möbius transform of A353374.
3

%I #8 Apr 19 2022 11:41:35

%S 1,1,1,2,1,1,1,2,2,1,1,2,1,1,2,3,1,2,1,2,2,1,1,2,2,1,2,2,1,2,1,3,2,1,

%T 2,4,1,1,2,2,1,2,1,2,3,1,1,3,2,2,2,2,1,2,2,2,2,1,1,4,1,1,3,4,2,2,1,2,

%U 2,2,1,4,1,1,3,2,2,2,1,3,3,1,1,4,2,1,2,2,1,3,2,2,2,1,2,3,1,2,3,4,1,2,1,2,4

%N Inverse Möbius transform of A353374.

%C Number of terms of A345452 that divide n.

%H Antti Karttunen, <a href="/A353376/b353376.txt">Table of n, a(n) for n = 1..65537</a>

%F a(n) = Sum_{d|n} A353374(d).

%F a(n) = A000005(n) - A353375(n).

%F For all n >= 1, a(n) <= A038548(n).

%o (PARI)

%o A353374(n) = (!(bigomega(n)%2) && !(valuation(n, 2)%2));

%o A353376(n) = sumdiv(n,d,A353374(d));

%Y Cf. A000005, A038548, A345452, A353374, A353375.

%K nonn

%O 1,4

%A _Antti Karttunen_, Apr 17 2022