A108381 - OEIS

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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 (list; graph; refs; listen; history; internal format)

	OFFSET	`1,4`
	COMMENTS	`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: A193997 A011155 A161136 * A108692 A157126 A166994` `Adjacent sequences: A108378 A108379 A108380 * A108382 A108383 A108384`
	KEYWORD	`nonn`
	AUTHOR	`T. D. Noe (noe(AT)sspectra.com), Jun 01 2005`

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Last modified February 14 08:19 EST 2012. Contains 205609 sequences.