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A046142 Hauy rhombic dodecahedral numbers. 3
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; refs; listen; history; internal format)
OFFSET

1,2

REFERENCES

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.

LINKS

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.

FORMULA

a(n) = (2n-1)(8n^2-14n+7).

CROSSREFS

Cf. A001845.

Sequence in context: A113752 A155883 A071914 * A135827 A189180 A127870

Adjacent sequences:  A046139 A046140 A046141 * A046143 A046144 A046145

KEYWORD

nonn

AUTHOR

Eric Weisstein (eric(AT)weisstein.com)

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Last modified February 14 17:44 EST 2012. Contains 205651 sequences.