A380546 Third coefficient of the lindep transform of A017666, denominator of sigma(n)/n.

0, 0, 0, 0, 0, -1, 0, 0, 0, 0, 0, -3, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -2, 0, 0, 0, -1, 0, -5, 0, 0, 0, 0, 0, 0, 0, 0, 0, -4, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -7, 0, 0, 0, -5, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -3, 0, 0, 0, 0, 0, -5, 0, 0, 0, 0, 0, -8, 0, 0, 0, 0, 0, 0, 0, 0, 0

Offset

1,12

Comments

See A339792 for a definition of lindep-transform.

Links

Antti Karttunen, Table of n, a(n) for n = 1..65537

Formula

a(n) = -(A017666(n)*A380544(n) + n*A380545(n)).

Prog

(PARI)
A017666(n) = (n/gcd(n, sigma(n)));
A380546(n) = { my(v=lindep([A017666(n), n, 1])); (v*sign(v[1]))[3]; };

Crossrefs

Cf. A017666, A380540, A380544, A380545.

Cf. also A339792, A380464, A380543.

Sequence in context: A061853 A010104 A282673 * A327159 A373695 A280051

Adjacent sequences: A380543 A380544 A380545 * A380547 A380548 A380549

Keyword

sign,new

Author

Antti Karttunen, Jan 27 2025

Status

approved