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A055669
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Number of prime Hurwitz quaternions of norm p, where p = n-th rational prime (indexed by A000040).
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5
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24, 96, 144, 192, 288, 336, 432, 480, 576, 720, 768, 912, 1008, 1056, 1152, 1296, 1440, 1488, 1632, 1728, 1776, 1920, 2016, 2160, 2352, 2448, 2496, 2592, 2640, 2736, 3072, 3168, 3312, 3360, 3600, 3648, 3792, 3936, 4032, 4176, 4320, 4368, 4608, 4656, 4752
(list; graph; refs; listen; history; internal format)
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OFFSET
| 1,1
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COMMENTS
| Number of vectors of norm p in D_4 lattice (cf. A004011).
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REFERENCES
| L. E. Dickson, Algebras and Their Arithmetics, Dover, 1960, Section 91.
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LINKS
| T. D. Noe, Table of n, a(n) for n=1..1000
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FORMULA
| a(n) = 24*(p(n)+1) for n >= 2.
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CROSSREFS
| Cf. A055669-A055672.
Sequence in context: A198387 A057102 A057103 * A195824 A183009 A042122
Adjacent sequences: A055666 A055667 A055668 * A055670 A055671 A055672
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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
| More terms from David W. Wilson (davidwwilson(AT)comcast.net), May 02 2001
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