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Search: id:A046142
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| A046142 |
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Hauy rhombic dodecahedral numbers. |
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+0
4
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| 1, 33, 185, 553, 1233, 2321, 3913, 6105, 8993, 12673, 17241, 22793, 29425, 37233, 46313, 56761, 68673, 82145, 97273, 114153, 132881, 153553, 176265, 201113, 228193, 257601, 289433, 323785, 360753, 400433, 442921, 488313, 536705
(list; graph; listen)
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OFFSET
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1,2
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REFERENCES
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Hauy, R.-J. "Essai d'une theorie sur la structure des crystals appliquee a plusieurs genres de substances crystallisees." 1784.
Steinhaus, H. Mathematical Snapshots, 3rd ed. New York: Dover, pp. 185-186, 1999.
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LINKS
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Jonathan Vos Post, Table of Polytope Numbers, Sorted, Through 1,000,000 which lists Hauy rhombic dodecahedral numbers as "RhoDod(n)."
Eric Weisstein's World of Mathematics, Link to a section of The World of Mathematics.
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FORMULA
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a(n) = (2n-1)(8n^2-14n+7).
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CROSSREFS
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Cf. A001845.
Sequence in context: A113752 A155883 A071914 this_sequence A135827 A127870 A142993
Adjacent sequences: A046139 A046140 A046141 this_sequence A046143 A046144 A046145
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KEYWORD
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nonn
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AUTHOR
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Eric Weisstein (eric(AT)weisstein.com)
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