A375745 a(n) is the sum of the vector of the reduced discriminant of the n-th cyclotomic polynomial.

1, 1, 4, 4, 16, 4, 36, 16, 36, 16, 100, 16, 144, 36, 72, 64, 256, 36, 324, 64, 156, 100, 484, 64, 400, 144, 324, 144, 784, 72, 900, 256, 420, 256, 648, 144, 1296, 324, 600, 256, 1600, 156, 1764, 400, 648, 484, 2116, 256, 1764, 400, 1056, 576, 2704, 324, 1720, 576

Offset

1,3

Comments

Conjecture: a(n) >= phi(n)^2 = A127473(n), and for n>=2 strictly greater iff n is in A070537.

Links

Table of n, a(n) for n=1..56.

Prog

(PARI) a(n) = vecsum(poldiscreduced(polcyclo(n)));

Crossrefs

Cf. A127473, A070537, A004124.

Sequence in context: A278254 A091278 A127473 * A289625 A040004 A079611

Adjacent sequences: A375742 A375743 A375744 * A375746 A375747 A375748

Keyword

nonn

Author

Darío Clavijo, Aug 26 2024

Status

approved