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A130012
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Smallest natural number whose cube is the sum of n cubes of distinct natural numbers, or 0 if no such number exists.
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1
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1, 0, 6, 13, 9, 13, 14, 16, 18, 19, 21, 22, 24, 27, 28, 31, 33, 36, 38, 40, 42, 44, 45, 49, 52, 56, 58, 59, 62, 63, 67, 69, 71, 75, 79, 79, 83, 87, 89, 92, 95, 99, 102, 105, 107, 109, 114, 116, 117, 120, 126, 129, 131, 135, 138, 140, 145, 147, 150, 153, 158, 161, 165, 168
(list; graph; refs; listen; history; internal format)
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OFFSET
| 1,3
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COMMENTS
| Also add a sequence like this for fourth powers, which starts 1, 0, 422481, 353.
a(2)=0 is a special case of Fermat's Last Theorem. - Martin Fuller (martin_n_fuller(AT)btinternet.com), Jul 06 2007
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LINKS
| Larry Freeman's Blog Spot, Fermat's Last Theorem
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EXAMPLE
| a(3) = 6 because 3^3 + 4^3 + 5^3 = 6^3
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CROSSREFS
| Cf. 4th powers A130022, n-th powers A007666.
Sequence in context: A159282 A202383 A070396 * A090324 A106623 A115010
Adjacent sequences: A130009 A130010 A130011 * A130013 A130014 A130015
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KEYWORD
| nonn
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AUTHOR
| J. Lowell, jhbubby(AT)mindspring.com, Jun 15 2007
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EXTENSIONS
| More terms from Martin Fuller (martin_n_fuller(AT)btinternet.com), Jul 06 2007
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