%I A046142
%S A046142 1,33,185,553,1233,2321,3913,6105,8993,12673,17241,22793,29425,37233,
%T A046142 46313,56761,68673,82145,97273,114153,132881,153553,176265,201113,
%U A046142 228193,257601,289433,323785,360753,400433,442921,488313,536705
%N A046142 Hauy rhombic dodecahedral numbers.
%D A046142 Hauy, R.-J. "Essai d'une theorie sur la structure des crystals appliquee 
               a plusieurs genres de substances crystallisees." 1784.
%D A046142 Steinhaus, H. Mathematical Snapshots, 3rd ed. New York: Dover, pp. 185-186, 
               1999.
%H A046142 Jonathan Vos Post, <a href="http://magicdragon.com/poly.html">Table of 
               Polytope Numbers, Sorted, Through 1,000,000</a> which lists Hauy 
               rhombic dodecahedral numbers as "RhoDod(n)."
%H A046142 Eric Weisstein's World of Mathematics, <a href="http://mathworld.wolfram.com/
               RhombicDodecahedralNumber.html">Link to a section of The World of 
               Mathematics.</a>
%F A046142 a(n) = (2n-1)(8n^2-14n+7).
%Y A046142 Cf. A001845.
%Y A046142 Sequence in context: A113752 A155883 A071914 this_sequence A135827 A127870 
               A142993
%Y A046142 Adjacent sequences: A046139 A046140 A046141 this_sequence A046143 A046144 
               A046145
%K A046142 nonn
%O A046142 1,2
%A A046142 Eric Weisstein (eric(AT)weisstein.com)