A325635 a(n) = A091255(2n, sigma(n)).

1, 1, 2, 1, 6, 12, 2, 1, 1, 6, 2, 4, 2, 4, 6, 1, 6, 3, 2, 2, 2, 4, 6, 12, 1, 2, 10, 56, 6, 12, 2, 1, 6, 10, 2, 1, 2, 4, 2, 10, 2, 4, 2, 4, 10, 12, 2, 4, 1, 1, 6, 2, 6, 20, 2, 8, 10, 6, 2, 8, 2, 4, 2, 1, 42, 12, 2, 6, 2, 28, 6, 9, 2, 2, 2, 4, 6, 4, 2, 2, 1, 2, 14, 56, 10, 12, 2, 4, 6, 2, 2, 8, 2, 4, 10, 12, 2, 1, 10, 1, 6, 20, 2, 2, 6

Offset: 1

Author

Antti Karttunen, May 21 2019

Keywords

• nonn

Links

• Antti Karttunen, Table of n, a(n) for n = 1..65537
• Index entries for sequences related to polynomials in ring GF(2)[X]
• Index entries for sequences related to sigma(n)

Crossrefs

Cf. A000203, A091255, A318467, A325634, A325636, A325638 (n such that a(n) = 2n).

Programs

PARI

A091255sq(a,b) = fromdigits(Vec(lift(gcd(Pol(binary(a))*Mod(1, 2),Pol(binary(b))*Mod(1, 2)))),2);
A325635(n) = A091255sq(n+n, sigma(n));

Formula

a(n) = A091255(2n, A000203(n)).

a(n) = A091255(2n, A318467(n)) = A091255(A000203(n), A318467(n)).