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A085891
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Maximal product of three numbers with sum n: a(n) = max(r*s*t), n = r+s+t.
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0
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1, 2, 4, 8, 12, 18, 27, 36, 48, 64, 80, 100, 125, 150, 180, 216, 252, 294, 343, 392, 448, 512, 576, 648, 729, 810, 900, 1000, 1100, 1210, 1331, 1452, 1584, 1728, 1872, 2028, 2197, 2366
(list; graph; refs; listen; history; internal format)
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OFFSET
| 3,2
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COMMENTS
| Identical to A006501.
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FORMULA
| Same iteration as in A002620 (in two dimensions) but here in three dimensions: Index 0 (mod 3) terms are cubes and sequence pass from one cube to the next one extending successively each side by one unity: n^3, n^2(n+1), n(n+1)^2, (n+1)^3. - Alexandre Wajnberg (alexandre.wajnberg(AT)skynet.be), Dec 29 2005
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EXAMPLE
| a(13) = 80 = 4*4*5, another partition is 5,5,3 giving the product 75.
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CROSSREFS
| Cf. A002620.
Sequence in context: A007590 A080476 A053799 * A006501 A074633 A006500
Adjacent sequences: A085888 A085889 A085890 * A085892 A085893 A085894
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KEYWORD
| nonn
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AUTHOR
| Amarnath Murthy and Meenakshi Srikanth (amarnath_murthy(AT)yahoo.com), Jul 10 2003
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