id:A055671 - OEIS Search Results

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Number of prime Hurwitz quaternions of norm n.

+0
2

0, 0, 24, 96, 0, 144, 0, 192, 0, 0, 0, 288, 0, 336, 0, 0, 0, 432, 0, 480, 0, 0, 0, 576, 0, 0, 0, 0, 0, 720, 0, 768, 0, 0, 0, 0, 0, 912, 0, 0, 0, 1008, 0, 1056, 0, 0, 0, 1152, 0, 0, 0, 0, 0, 1296, 0, 0, 0, 0, 0, 1440, 0, 1488, 0, 0, 0, 0, 0, 1632, 0, 0, 0, 1728, 0, 1776, 0, 0, 0, 0, 0 (list; graph; listen)

	OFFSET	`0,3`
	REFERENCES	`L. E. Dickson, Algebras and Their Arithmetics, Dover, 1960, Section 91.`
	LINKS	`R. J. Mathar, Table of n, a(n) for n=0..10000`
	FORMULA	`a(n) = number of vectors of norm n in D_4 lattice (A004011) if n is a prime, otherwise a(n) = 0.`
	CROSSREFS	`Cf. A055669-A055672.` `Sequence in context: A044592 A010012 A076799 this_sequence A090214 A103251 A057102` `Adjacent sequences: A055668 A055669 A055670 this_sequence A055672 A055673 A055674`
	KEYWORD	`nonn,easy,nice`
	AUTHOR	`njas, Jun 09 2000`
	EXTENSIONS	`More terms from Lambert Klasen (Lambert.Klasen(AT)gmx.net), Jun 10 2005`

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Last modified July 25 07:41 EDT 2008. Contains 142293 sequences.

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