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a(n) = A353557(n) - A353556(n).
3

%I #10 Nov 22 2023 10:47:38

%S 1,-1,0,0,0,0,0,-1,1,0,0,-1,0,0,1,0,0,-1,0,-1,1,0,0,0,1,0,0,-1,0,-1,0,

%T -1,1,0,1,0,0,0,1,0,0,-1,0,-1,0,0,0,-1,1,-1,1,-1,0,0,1,0,1,0,0,0,0,0,

%U 0,0,1,-1,0,-1,1,-1,0,-1,0,0,0,-1,1,-1,0,-1,1,0,0,0,1,0,1,0,0,0,1,-1,1,0,1,0,0,-1,0,0,0,-1,0,0,0,0,0,-1,0,-1,1,-1

%N a(n) = A353557(n) - A353556(n).

%H Antti Karttunen, <a href="/A359769/b359769.txt">Table of n, a(n) for n = 1..16384</a>

%o (PARI)

%o A353556(n) = ((!(n%2))&&(bigomega(n)%2));

%o A353557(n) = ((n%2)&&(!(bigomega(n)%2)));

%o A359769(n) = (A353557(n)-A353556(n));

%Y Cf. A001222, A065043 [= a(A003961(n))], A353556, A353557, A359770 (parity of terms, and their absolute values), A359814 (Dirichlet inverse).

%K sign

%O 1

%A _Antti Karttunen_, Jan 15 2023