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a(n) = gcd(n, A323159(n)) = gcd(n, A034448(n), A048250(n)).
3

%I #8 Jan 09 2019 21:22:46

%S 1,1,1,1,1,6,1,1,1,2,1,4,1,2,3,1,1,6,1,2,1,2,1,12,1,2,1,4,1,6,1,1,3,2,

%T 1,2,1,2,1,2,1,6,1,4,3,2,1,4,1,2,3,2,1,6,1,8,1,2,1,12,1,2,1,1,1,6,1,2,

%U 3,2,1,6,1,2,1,4,1,6,1,2,1,2,1,4,1,2,3,4,1,18,7,4,1,2,5,12,1,2,3,2,1,6,1,2,3

%N a(n) = gcd(n, A323159(n)) = gcd(n, A034448(n), A048250(n)).

%H Antti Karttunen, <a href="/A323160/b323160.txt">Table of n, a(n) for n = 1..65537</a>

%F a(n) = gcd(n, A323159(n)) = gcd(A048250(n), A323166(n)).

%F a(n) = gcd(n, A034448(n), A048250(n)).

%o (PARI)

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

%o A048250(n) = factorback(apply(p -> p+1,factor(n)[,1]));

%o A323160(n) = gcd(n, gcd(A034448(n), A048250(n)));

%Y Cf. A034448, A048250, A323159, A323163, A323166.

%K nonn

%O 1,6

%A _Antti Karttunen_, Jan 09 2019