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#24 by Charles R Greathouse IV at Thu Jun 20 10:21:14 EDT 2024
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#23 by Charles R Greathouse IV at Thu Jun 20 10:21:12 EDT 2024
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T. D. Noe, <a href="/A004829/b004829.txt">Table of n, a(n) for n= = 1..1000</a>
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| CROSSREFS
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Complement of A018889; subsequence of A003330.
Cf. A018888, A003330.
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| STATUS
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approved
editing
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#22 by Charles R Greathouse IV at Wed Jun 29 22:58:40 EDT 2022
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#21 by Charles R Greathouse IV at Wed Jun 29 22:58:36 EDT 2022
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| COMMENTS
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McCurley proves that every n > exp(exp(13.97)) is in A003330 and hence in this sequence. Siksek proves that all n > 454 are in this sequence. - Charles R Greathouse IV, Jun 29 2022
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| LINKS
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Samir Siksek, <a href="https://msp.org/ant/2016/10-10/ant-v10-n10-p.pdf#page=43">Every integer greater than 454 is the sum of at most seven positive cubes</a>, Algebra and Number Theory 10:10 (2016), pp. 2093-2119.
<a href="/index/Rec#order_02">Index entries for linear recurrences with constant coefficients</a>, signature (2,-1).
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| CROSSREFS
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Cf. A018888, A003330.
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| KEYWORD
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nonn,easy
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approved
editing
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#20 by Jon E. Schoenfield at Sun Dec 26 21:00:06 EST 2021
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#19 by Jon E. Schoenfield at Sun Dec 26 21:00:02 EST 2021
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| AUTHOR
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_N. J. A. Sloane_._
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approved
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#18 by Bruno Berselli at Mon May 08 09:22:21 EDT 2017
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#17 by Joerg Arndt at Mon May 08 08:47:26 EDT 2017
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#16 by Michel Marcus at Mon May 08 05:00:08 EDT 2017
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#15 by Michel Marcus at Mon May 08 05:00:00 EDT 2017
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| REFERENCES
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J. Bohman and C.-E. Froberg, Numerical investigation of Waring's problem for cubes, Nordisk Tidskr. Informationsbehandling (BIT) 21 (1981), 118-122.
K. S. McCurley, An effective seven-cube theorem, J. Number Theory, 19 (1984), 176-183.
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| LINKS
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Jan Bohman and Carl-Erik Froberg, <a href="http://dx.doi.org/10.1007/BF01934077">Numerical investigation of Waring's problem for cubes</a>, Nordisk Tidskr. Informationsbehandling (BIT) 21 (1981), 118-122.
K. S. McCurley, <a href="http://dx.doi.org/10.1016/0022-314X(84)90100-8">An effective seven-cube theorem</a>, J. Number Theory, 19 (1984), 176-183.
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approved
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