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A161883
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Smallest k such that n^3 = a_1^3+...+a_k^3 and all a_i are positive integers less than n.
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3
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8, 6, 5, 7, 3, 4, 5, 3, 5, 5, 3, 4, 4, 5, 5, 5, 3, 3, 3, 4, 5, 4, 3, 3, 4, 3, 3, 3, 3, 4, 4, 4, 4, 4, 3, 4, 3, 4, 3, 3, 3, 4, 3, 3, 3, 5, 3, 4, 3
(list; graph; refs; listen; history; internal format)
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OFFSET
| 2,1
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COMMENTS
| It follows from Wieferich's result g(3) = 9 that a(n) <= 10. Theorem 2 of Bertault, Ramaré, & Zimmermann can be used to show that a(n) <= 8 (check congruence classes of cubes mod 333 with one summand of 1, 8, or 27). Probably a(2), a(3), and a(5) are the only members greater than 5 in this sequence. [Charles R Greathouse IV, Jul 30 2011]
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LINKS
| Jean-Charles Meyrignac, Computing minimal equal sums of like powers
Weisstein, Eric W., Diophantine Equation 3rd Powers
F. Bertault, O. Ramaré, and P. Zimmermann, On sums of seven cubes, Mathematics of Computation 68 (1999), pp. 1303-1310.
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CROSSREFS
| Cf. A161882, A161884, A161885.
Sequence in context: A202258 A021540 A100199 * A197329 A046266 A165104
Adjacent sequences: A161880 A161881 A161882 * A161884 A161885 A161886
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KEYWORD
| nonn,more
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AUTHOR
| Dmitry Kamenetsky (dkamen(AT)rsise.anu.edu.au), Jun 21 2009
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