%I #10 May 28 2019 19:35:42

%S 15,23,27,55,39,39,47,51,87,43,63,71,127,63,83,55,99,67,175,107,111,

%T 63,119,123,67,95,147,79,159,99,167,79,295,87,183,135,191,203,207,367,

%U 87,99,91,139,239,243,251,795,115,267,111,279,123,287,127,291,103,303,535,135,323,139,327,187,715,111,119,347,359,363,123,383

%N Sum of unitary proper divisors of A228058(n): a(n) = A034460(A228058(n)).

%H Antti Karttunen, <a href="/A325823/b325823.txt">Table of n, a(n) for n = 1..25000</a>

%F a(n) = A034460(A228058(n)).

%F a(n) = A325824(n) - A325379(n).

%o (PARI)

%o up_to = 10000;

%o isA228058(n) = if(!(n%2)||(omega(n)<2),0,my(f=factor(n),y=0); for(i=1,#f~,if(1==(f[i,2]%4), if((1==y)||(1!=(f[i,1]%4)),return(0),y=1), if(f[i,2]%2, return(0)))); (y));

%o A228058list(up_to) = { my(v=vector(up_to), k=0, n=0); while(k<up_to, n++; if(isA228058(n), k++; v[k] = n)); (v); };

%o v228058 = A228058list(up_to);

%o A228058(n) = v228058[n]; \\ _Antti Karttunen_, May 23 2019

%o A034448(n) = { my(f=factorint(n)); prod(k=1, #f~, 1+(f[k, 1]^f[k, 2])); }; \\ After code in A034448

%o A034460(n) = (A034448(n) - n);

%o A325823(n) = A034460(A228058(n));

%Y Cf. A034448, A034460, A228058, A325379, A325824.

%Y Cf. also A325319, A325320.

%K nonn

%O 1,1

%A _Antti Karttunen_, May 23 2019