A108381 Number of distinct magnitudes of the nonzero sums of distinct n-th roots of unity.

1, 1, 1, 2, 3, 3, 8, 9, 16, 17, 62, 23, 186, 95, 280, 240, 1963, 225, 6830, 1091

Offset

1,4

Comments

There are 2^n sums of the n-th roots of unity.

Links

Table of n, a(n) for n=1..20.

T. D. Noe, Sums of Roots of Unity Plots

Example

a(4)=2 because the nonzero sums of 4th roots of unity have magnitude 1 or sqrt(2).

Crossrefs

Cf. A103314 (number of subsets of the n-th roots of unity summing to zero).

Sequence in context: A011155 A161136 A258163 * A238761 A261469 A292498

Adjacent sequences: A108378 A108379 A108380 * A108382 A108383 A108384

Keyword

nonn

Author

T. D. Noe, Jun 01 2005

Status

approved