A325634 a(n) = A091255(n, sigma(n)).

1, 1, 1, 1, 3, 6, 1, 1, 1, 6, 1, 4, 1, 2, 3, 1, 3, 3, 1, 2, 1, 2, 3, 12, 1, 2, 5, 28, 3, 6, 1, 1, 3, 10, 1, 1, 1, 2, 1, 10, 1, 2, 1, 4, 5, 6, 1, 4, 1, 1, 3, 2, 3, 10, 1, 8, 5, 6, 1, 4, 1, 2, 1, 1, 21, 6, 1, 6, 1, 14, 3, 9, 1, 2, 1, 4, 3, 2, 1, 2, 1, 2, 7, 28, 5, 6, 1, 4, 3, 2, 1, 4, 1, 2, 5, 12, 1, 1, 5, 1, 3, 10, 1, 2, 3

Offset

1,5

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)

Formula

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

a(n) = A091255(n, A169813(n)) = A091255(A000203(n), A169813(n)).

Prog

(PARI)
A091255sq(a, b) = fromdigits(Vec(lift(gcd(Pol(binary(a))*Mod(1, 2), Pol(binary(b))*Mod(1, 2)))), 2);
A325634(n) = A091255sq(n, sigma(n));

Crossrefs

Cf. A000203, A009194, A091255, A169813, A325632, A325633, A325635, A325639 (fixed points, n such that a(n) = n).

Sequence in context: A016660 A142464 A177022 * A008953 A104611 A076790

Adjacent sequences: A325631 A325632 A325633 * A325635 A325636 A325637

Keyword

nonn

Author

Antti Karttunen, May 21 2019

Status

approved