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Search: id:A033581
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| 0, 6, 24, 54, 96, 150, 216, 294, 384, 486, 600, 726, 864, 1014, 1176, 1350, 1536, 1734, 1944, 2166, 2400, 2646, 2904, 3174, 3456, 3750, 4056, 4374, 4704, 5046, 5400, 5766, 6144, 6534, 6936, 7350, 7776, 8214, 8664, 9126, 9600, 10086, 10584, 11094, 11616
(list; graph; listen)
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OFFSET
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0,2
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COMMENT
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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
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
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
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
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
6 times the squares. [From Omar E. Pol (info(AT)polprimos.com), Dec 11 2008]
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LINKS
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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) = A000290(n)*6. [From Omar E. Pol (info(AT)polprimos.com), Dec 11 2008]
a(n) = A001105(n)*3 = A033428(n)*2. [From Omar E. Pol (info(AT)polprimos.com), Dec 13 2008]
a(n)=12*n+a(n-1)-18 (with a(1)=0) [From Vincenzo Librandi (vincenzo.librandi(AT)tin.it), Nov 12 2009]
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EXAMPLE
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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]
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MATHEMATICA
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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]
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PROGRAM
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(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]
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CROSSREFS
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Cf. A000217, A000290, A033583, A033428.
Central column of triangle A001283.
Cf. A001105. [From Omar E. Pol (info(AT)polprimos.com), Dec 13 2008]
Sequence in context: A083170 A087081 A089973 this_sequence A009943 A028595 A002653
Adjacent sequences: A033578 A033579 A033580 this_sequence A033582 A033583 A033584
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KEYWORD
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nonn,new
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AUTHOR
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N. J. A. Sloane (njas(AT)research.att.com).
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EXTENSIONS
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More terms from Larry Reeves (larryr(AT)acm.org), Nov 08 2001
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