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A055669
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Number of prime Hurwitz quaternions of norm prime(n).
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6
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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
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OFFSET
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1,1
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COMMENTS
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Number of vectors of norm p in D_4 lattice (cf. A004011).
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REFERENCES
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L. E. Dickson, Algebras and Their Arithmetics, Dover, 1960, Section 91.
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LINKS
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FORMULA
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a(n) = 24 * (prime(n)+1) = 24 * A008864(n) for n >= 2.
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MATHEMATICA
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Join[{24}, 24(#+1)&/@Prime[Range[2, 50]]] (* Harvey P. Dale, Mar 12 2013 *)
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CROSSREFS
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Cf. A240068 (number of prime Lipschitz quaternions having norm prime(n)).
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KEYWORD
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nonn,easy,nice
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AUTHOR
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EXTENSIONS
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STATUS
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approved
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