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A108381 Number of distinct magnitudes of the nonzero sums of distinct n-th roots of unity. +0
1
1, 1, 1, 2, 3, 3, 8, 9, 16, 17, 62, 23, 186, 95, 280, 240, 1963, 225, 6830, 1091 (list; graph; listen)
OFFSET

1,4

COMMENT

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

LINKS

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: A132822 A011155 A161136 this_sequence A108692 A157126 A166994

Adjacent sequences: A108378 A108379 A108380 this_sequence A108382 A108383 A108384

KEYWORD

nonn

AUTHOR

T. D. Noe (noe(AT)sspectra.com), Jun 01 2005

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Last modified March 19 13:18 EDT 2010. Contains 173632 sequences.


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