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A004829 Numbers that are the sum of at most 7 positive cubes.

%I A004829 #24 Jun 20 2024 10:21:14
%S A004829 0,1,2,3,4,5,6,7,8,9,10,11,12,13,14,16,17,18,19,20,21,24,25,26,27,28,
%T A004829 29,30,31,32,33,34,35,36,37,38,39,40,41,42,43,44,45,46,47,48,49,51,52,
%U A004829 53,54,55,56,57,58,59,60,61,62,63,64,65,66,67,68,69
%N A004829 Numbers that are the sum of at most 7 positive cubes.
%C A004829 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
%H A004829 T. D. Noe, <a href="/A004829/b004829.txt">Table of n, a(n) for n = 1..1000</a>
%H A004829 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.
%H A004829 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.
%H A004829 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.
%H A004829 <a href="/index/Rec#order_02">Index entries for linear recurrences with constant coefficients</a>, signature (2,-1).
%H A004829 <a href="/index/Su#ssq">Index entries for sequences related to sums of cubes</a>
%Y A004829 Complement of A018889; subsequence of A003330.
%Y A004829 Sums of k cubes, number of ways of writing n as, for k=1..9: A010057, A173677, A051343, A173678, A173679, A173680, A173676, A173681, A173682.
%Y A004829 Cf. A018888.
%K A004829 nonn,easy
%O A004829 1,3
%A A004829 _N. J. A. Sloane_