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Search: id:A103158
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| A103158 |
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(1/2)*number of regular tetrahedra that can be formed using the points in an (n+1) X (n+1) X (n+1) lattice cube. |
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12
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| 1, 9, 36, 104, 257, 549, 1058, 1896, 3199, 5145, 7926, 11768, 16967, 23859, 32846, 44378, 58977, 77215
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OFFSET
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1,2
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EXAMPLE
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a(1)=1 because there are 2 ways to form a regular tetrahedron using vertices of the unit cube: Either [(0,0,0),(0,1,1),(1,0,1),(1,1,0)] or [(1,1,1),(1,0,0),(0,1,0),(0,0,1)].
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CROSSREFS
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Cf. triangles in lattice cube: A103426, A103427, A103428, A103429, A103499, A103500; A096315 n+1 equidistant points in Z^n.
Sequence in context: A114286 A098928 A139469 this_sequence A023872 A034557 A002063
Adjacent sequences: A103155 A103156 A103157 this_sequence A103159 A103160 A103161
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KEYWORD
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nonn
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AUTHOR
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Hugo Pfoertner (hugo(AT)pfoertner.org), Feb 08 2005
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