proposed

approved

editing

proposed

Cf. A034460, A323166, A325811, A325812, A325814.

Cf. A034460, A323166, A325811, A325812, A325814.

a(n) = gcd(A034448(n)-n, n-A048146(n)), where A034448 and A048146 are respectively the sum of unitary and non-unitary divisors of n))..

a(n) = gcd(A034460A034448(n)-n, n), A325814-A048146(n)).

Antti Karttunen, <a href="/A325813/b325813.txt">Table of n, a(n) for n = 1..65537</a>

allocated for Antti Karttunen

a(n) = gcd(A034460(n), A325814(n)).

1, 1, 1, 1, 1, 6, 1, 1, 1, 2, 1, 4, 1, 2, 3, 1, 1, 3, 1, 2, 1, 2, 1, 12, 1, 2, 1, 12, 1, 6, 1, 1, 3, 2, 1, 1, 1, 2, 1, 2, 1, 6, 1, 4, 3, 2, 1, 4, 1, 7, 3, 6, 1, 6, 1, 8, 1, 2, 1, 12, 1, 2, 1, 1, 1, 6, 1, 2, 3, 2, 1, 3, 1, 2, 1, 12, 1, 6, 1, 2, 1, 2, 1, 4, 1, 2, 3, 4, 1, 18, 7, 4, 1, 2, 5, 12, 1, 1, 21, 1, 1, 6, 1, 2, 3

1,6

a(n) = gcd(A034460(n), A325814(n)).

(PARI)

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

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

A048146(n) = (sigma(n)-A034448(n));

A325814(n) = (n-A048146(n));

A325813(n) = gcd(A034460(n), A325814(n));

Cf. A034460, A325811, A325812, A325814.

Cf. also A325385.

allocated

nonn

Antti Karttunen, May 23 2019

approved

editing

allocated for Antti Karttunen

allocated

approved