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A178797
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Number of regular octahedra that can be formed using the points in an (n+1)X(n+1)X(n+1) lattice cube.
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2
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0, 1, 8, 32, 104, 261, 544, 1000, 1696, 2759, 4296, 6434, 9352, 13243, 18304, 24774, 32960, 43223, 55976, 71752, 90936, 113973, 141312, 173436, 210960, 254587, 305000, 364406, 432824, 511421, 600992, 702556, 817200, 946131, 1090392, 1251238
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OFFSET
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1,3
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LINKS
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Eugen J. Ionascu, Andrei Markov, Platonic solids in Z^3, Journal of Number Theory, Volume 131, Issue 1, January 2011, Pages 138-145.
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EXAMPLE
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a(2)=1 because there is 1 way to form a regular octahedron using points of a {0,1,2}^3 lattice cube.
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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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