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%I #9 Dec 08 2022 16:32:20
%S 0,0,1,0,0,0,0,0,0,0,1,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,
%T 0,0,0,0,0,0,0,0,1,0,0,0,1,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,1,0,0,0,0,0,
%U 0,0,1,0,0,0,0,0,0,0,1,0,0,0,1,0,0,0,1,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,1,0,0,0,1,0,0,0,0
%N a(n) = 1 if A358669(n) == 3 (mod 4), otherwise 0.
%H Antti Karttunen, <a href="/A358759/b358759.txt">Table of n, a(n) for n = 0..100000</a>
%H <a href="/index/Ch#char_fns">Index entries for characteristic functions</a>
%H <a href="/index/Pri#primorialbase">Index entries for sequences related to primorial base</a>
%F a(n) = [A358669(n) == 3 (mod 4), where [ ] is the Iverson bracket.
%F a(n) = 1-A152822(n)-A358758(n).
%F a(n) = A353488(n)*A358773(n) + A353489(n)*A358771(n).
%o (PARI)
%o A003415(n) = if(n<=1, 0, my(f=factor(n)); n*sum(i=1, #f~, f[i, 2]/f[i, 1]));
%o A276086(n) = { my(m=1, p=2); while(n, m *= (p^(n%p)); n = n\p; p = nextprime(1+p)); (m); };
%o A358759(n) = (3==((A003415(n)*A276086(n))%4));
%Y Characteristic function of A358749.
%Y Cf. A003415, A152822, A276086, A353488, A353489, A358758, A358669, A358771, A358773.
%K nonn
%O 0
%A _Antti Karttunen_, Dec 06 2022
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