id:A055672 - OEIS Search Results

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Number of right-inequivalent prime Hurwitz quaternions of norm n.

+0
5

0, 0, 1, 4, 0, 6, 0, 8, 0, 0, 0, 12, 0, 14, 0, 0, 0, 18, 0, 20, 0, 0, 0, 24, 0, 0, 0, 0, 0, 30, 0, 32, 0, 0, 0, 0, 0, 38, 0, 0, 0, 42, 0, 44, 0, 0, 0, 48, 0, 0, 0, 0, 0, 54, 0, 0, 0, 0, 0, 60, 0, 62, 0, 0, 0, 0, 0, 68, 0, 0, 0, 72, 0, 74, 0, 0, 0, 0, 0, 80, 0, 0, 0, 84, 0, 0, 0, 0, 0, 90 (list; graph; listen)

	OFFSET	`0,4`
	COMMENT	`Two primes are considered right-equivalent if they differ by right multiplication by one of the 24 units.`
	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) = A055671(n)/24.`
	CROSSREFS	`Cf. A055669-A055671.` `Adjacent sequences: A055669 A055670 A055671 this_sequence A055673 A055674 A055675` `Sequence in context: A125961 A016681 A076290 this_sequence A085562 A037282 A075083`
	KEYWORD	`nonn,easy,nice`
	AUTHOR	`njas, Jun 09 2000`
	EXTENSIONS	`I would also like to get the sequences of inequivalent prime Hurwitz quaternions, where two primes are considered equivalent if they differ by left or right multiplication by one of the 24 units. This will give two more sequences, analogues of A055670 and A055672.`

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Last modified October 11 13:47 EDT 2008. Contains 144830 sequences.

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