%I A033581
%S A033581 0,6,24,54,96,150,216,294,384,486,600,726,864,1014,1176,1350,1536,1734,
%T A033581 1944,2166,2400,2646,2904,3174,3456,3750,4056,4374,4704,5046,5400,5766,
%U A033581 6144,6534,6936,7350,7776,8214,8664,9126,9600,10086,10584,11094,11616
%N A033581 6n^2.
%C A033581 Number of edges of a complete 4-partite graph of order 4n, K_n,n,n,n. 
               - Roberto E. Martinez II (remartin(AT)fas.harvard.edu), Oct 18 2001
%C A033581 Number of edges of the complete bipartite graph of order 7n, K_n,6n - 
               Roberto E. Martinez II (remartin(AT)fas.harvard.edu), Jan 07 2002
%C A033581 Number of edges in the line graph of the product of two cycle graphs, 
               each of order n, L(C_n x C_n) - Roberto E. Martinez II (remartin(AT)fas.harvard.edu), 
               Jan 07 2002
%C A033581 Total surface area of a cube of edge length n. See A000578 for cube volume. 
               See A070169 and A071399 for surface area and volume of a regular 
               tetrahedron and links for the other Platonic solids. - Rick L. Shepherd 
               (rshepherd2(AT)hotmail.com), Apr 24 2002
%C A033581 Number of permutations of 4 distinct letters (ABCD) each with n copies 
               such that 4n-2 remain fixed points. - Zerinvary Lajos (zerinvarylajos(AT)yahoo.com), 
               Jan 02 2006
%C A033581 6 times the squares. [From Omar E. Pol (info(AT)polprimos.com), Dec 11 
               2008]
%H A033581 Eric Weisstein's World of Mathematics, <a href="http://mathworld.wolfram.com/
               PlatonicSolid.html">Link to a section of The World of Mathematics</
               a>
%F A033581 a(n) = A000290(n)*6. [From Omar E. Pol (info(AT)polprimos.com), Dec 11 
               2008]
%F A033581 a(n) = A001105(n)*3 = A033428(n)*2. [From Omar E. Pol (info(AT)polprimos.com), 
               Dec 13 2008]
%F A033581 a(n)=12*n+a(n-1)-18 (with a(1)=0) [From Vincenzo Librandi (vincenzo.librandi(AT)tin.it), 
               Nov 12 2009]
%e A033581 For n=2, a(2)=12*2+0-18=6; n=3, a(3)=12*3+6-18=24; n=4, a(4)=12*4+24-18=54 
               [From Vincenzo Librandi (vincenzo.librandi(AT)tin.it), Nov 12 2009]
%t A033581 s=0;lst={s};Do[s+=n++ +6;AppendTo[lst, s], {n, 0, 7!, 12}];lst [From 
               Vladimir Orlovsky (4vladimir(AT)gmail.com), Nov 16 2008]
%o A033581 (Other) sage: [crt(6, n, 3, 5)^2/6 for n in xrange(5, 50)] # [From Zerinvary 
               Lajos (zerinvarylajos(AT)yahoo.com), Jun 30 2009]
%Y A033581 Cf. A000217, A000290, A033583, A033428.
%Y A033581 Central column of triangle A001283.
%Y A033581 Cf. A001105. [From Omar E. Pol (info(AT)polprimos.com), Dec 13 2008]
%Y A033581 Sequence in context: A083170 A087081 A089973 this_sequence A009943 A028595 
               A002653
%Y A033581 Adjacent sequences: A033578 A033579 A033580 this_sequence A033582 A033583 
               A033584
%K A033581 nonn,new
%O A033581 0,2
%A A033581 N. J. A. Sloane (njas(AT)research.att.com).
%E A033581 More terms from Larry Reeves (larryr(AT)acm.org), Nov 08 2001