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A108381 Number of distinct magnitudes of the nonzero sums of distinct n-th roots of unity. 3

%I #2 Mar 30 2012 17:22:40

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

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

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

%H T. D. Noe, <a href="http://www.sspectra.com/math/RootSums.html">Sums of Roots of Unity Plots</a>

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

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

%K nonn

%O 1,4

%A _T. D. Noe_, Jun 01 2005

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Last modified July 14 15:35 EDT 2024. Contains 374322 sequences. (Running on oeis4.)