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A222303
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Value of t corresponding to norm of n-th shell of points in mcc lattice.
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3
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0, 1, 2, 0, 4, 2, 5, 4, 1, 8, 9, 10, 8, 0, 5, 10, 2, 13, 4, 9, 16, 17, 18, 1, 16, 8, 13, 20, 18, 10, 5, 20, 17, 0, 25, 26, 9, 16, 2, 26, 18, 4, 29, 13, 20, 25, 32, 8, 34, 17, 32, 29, 10, 1, 36, 34, 26, 37, 36, 5, 40, 16, 41, 25, 40, 32, 37, 18, 9, 0, 34, 20, 45, 29, 2, 36, 41, 13, 4, 49, 50, 40, 45, 26, 17, 52, 50
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OFFSET
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0,3
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COMMENTS
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The mcc lattice is generated by the vectors (u,v,0), (u,0,v) and (0,v,v), where u = 2^(-1/2), v = 2^(-1/4).
The norms q = X.X of the lattice points X have the form q = s/2 + t/sqrt(2) for integers s and t.
A222301 gives the number of points with each successive value of q; A222302 and A222303 give the corresponding values of s and t.
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REFERENCES
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J. H. Conway and N. J. A. Sloane, "Sphere Packings, Lattices and Groups", Springer-Verlag, 3rd. ed., 1993. p. xxiv. (Note that the second set of generators should be [0, +-v, +-v].)
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LINKS
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CROSSREFS
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KEYWORD
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nonn
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AUTHOR
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EXTENSIONS
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STATUS
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approved
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