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A055672
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Number of right-inequivalent prime Hurwitz quaternions of norm n.
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5
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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; refs; listen; history; internal format)
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OFFSET
| 0,4
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COMMENTS
| Two primes are considered right-equivalent if they differ by right multiplication by one of the 24 units.
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REFERENCES
| L. E. Dickson, Algebras and Their Arithmetics, Dover, 1960, Section 91.
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LINKS
| R. J. Mathar, Table of n, a(n) for n=0..10000
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FORMULA
| a(n) = A055671(n)/24.
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CROSSREFS
| Cf. A055669-A055671.
Sequence in context: A198224 A178105 A178109 * A085562 A037282 A191558
Adjacent sequences: A055669 A055670 A055671 * A055673 A055674 A055675
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KEYWORD
| nonn,easy,nice
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AUTHOR
| N. J. A. Sloane (njas(AT)research.att.com), Jun 09 2000
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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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