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A059986
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Number of rods required to make a 3-D cube of side length n.
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1
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0, 12, 54, 144, 300, 540, 882, 1344, 1944, 2700, 3630, 4752, 6084, 7644, 9450, 11520, 13872, 16524, 19494, 22800, 26460, 30492, 34914, 39744, 45000, 50700, 56862, 63504, 70644, 78300, 86490, 95232, 104544, 114444, 124950, 136080, 147852, 160284, 173394
(list; graph; refs; listen; history; internal format)
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OFFSET
| 0,2
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FORMULA
| a(n) = 3*n*(n+1)^2. - Neven Juric (neven.juric(AT)apis-it.hr), Sep 28, 2005
a(n)=a(n-1)+9n^2+3n O.g.f.:(6x^2+12x)/(1-x)^4 E.g.f.:3xexp(x)*(x^2+5x+4) [From Geoffrey Critzer (critzer.geoffrey(AT)usd443.org), May 17 2009]
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EXAMPLE
| A 1 X 1 X 1 cube requires 12 rods.
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MATHEMATICA
| Table[M[GridGraph[n, n, n]], {n, 1, 39}] [From Geoffrey Critzer (critzer.geoffrey(AT)usd443.org), May 17 2009]
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CROSSREFS
| Sequence in context: A000735 A022704 A060785 * A088941 A019582 A025204
Adjacent sequences: A059983 A059984 A059985 * A059987 A059988 A059989
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KEYWORD
| nonn,easy
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AUTHOR
| Laura Twomey (sxe15(AT)hotmail.com), Mar 07 2001
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EXTENSIONS
| More terms from Neven Juric (neven.juric(AT)apis-it.hr), Sep 28, 2005
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