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a(n) = 1 if A276085(n) is a multiple of bigomega(n), otherwise 0, where bigomega (A001222) and A276085 are fully additive with a(p) = 1 and a(p) = p#/p respectively.
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%I #7 Jun 20 2024 16:57:33

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

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

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

%N a(n) = 1 if A276085(n) is a multiple of bigomega(n), otherwise 0, where bigomega (A001222) and A276085 are fully additive with a(p) = 1 and a(p) = p#/p respectively.

%H Antti Karttunen, <a href="/A373851/b373851.txt">Table of n, a(n) for n = 1..100000</a>

%o (PARI)

%o A276085(n) = { my(f = factor(n)); sum(k=1, #f~, f[k, 2]*prod(i=1,primepi(f[k, 1]-1),prime(i))); };

%o A373851(n) = if(1==n,n,!(A276085(n)%bigomega(n)));

%Y Characteristic function of A373852.

%Y Cf. A001222, A276085, A373834 [= a(A276086(n))], A373835, A373850.

%K nonn

%O 1

%A _Antti Karttunen_, Jun 20 2024