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Search: id:A048874
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| A048874 |
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Almost-cubes: numbers n such that n/s(n) >= k/s(k) for all k<n, where s(m) is the least surface area of a rectangular parallelepiped with integer side lengths and volume m. |
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1
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| 1, 2, 3, 4, 6, 8, 12, 16, 18, 24, 27, 32, 36, 45, 48, 54, 60, 64, 72, 75, 80, 90, 96, 100, 112, 120, 125, 140, 144, 150, 168, 175, 180, 200, 210, 216, 240, 245, 252, 280, 288, 294, 320, 324, 336, 343, 378, 384, 392, 420, 432, 441, 448, 480, 486, 490, 504, 512
(list; graph; listen)
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OFFSET
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0,2
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REFERENCES
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S. Alspaugh, Farmer Ted Goes 3-dimensional, accepted for publication by Mathematics Magazine.
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LINKS
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M. DeLong, Title?.
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EXAMPLE
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A rectangular parallelipiped with side lengths 1,2 and 3 has volume 6 and surface area 22. The ratio of volume to surface area is 6/22, which is greater than the ratio of volume to surface area for any rectangular parallelipiped with integer sides and volume < 6. Therefore 6 is an almost-cube.
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CROSSREFS
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Cf. A033501.
Sequence in context: A081029 A034893 A018662 this_sequence A092824 A084094 A018718
Adjacent sequences: A048871 A048872 A048873 this_sequence A048875 A048876 A048877
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KEYWORD
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easy,nonn,nice
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AUTHOR
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Shawn Alspaugh (shalspau(AT)indiana.edu) and Matt DeLong (mtdelong(AT)tayloru.edu)
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