A057907 - OEIS

%I #26 Apr 18 2024 11:41:54

%S 1,2,3,4,5,7,8,9,10,11,12,14,15,16,17,18,19,21,22,23,24,25,26,28,29,

%T 30,31,33,35,36,37,38,40,42,43,44,45,47,49,50,51,52,54,55,56,57,59,61,

%U 62,63,64,66,68,70,71,73,74,75,77,78,80,81,82,85,87,88,89,92,93,94,96

%N Positive integers that are not the sum of precisely six positive cubes.

%C It appears that this sequence has 492 terms, the last of which is 19202. - _T. D. Noe_, Dec 13 2006

%H T. D. Noe, <a href="/A057907/b057907.txt">Table of n, a(n) for n=1..492</a>

%H Brennan Benfield and Oliver Lippard, <a href="https://arxiv.org/abs/2404.08193">Integers that are not the sum of positive powers</a>, arXiv:2404.08193 [math.NT], 2024. p. 4.

%H Eric Weisstein's World of Mathematics, <a href="http://mathworld.wolfram.com/CubicNumber.html">Cubic Number</a>.

%t Select[ Range[100], Length[ Select[ PowersRepresentations[#, 6, 3], And @@ (Positive /@ #) &]] != 1 &] (* _Jean-François Alcover_, Oct 25 2012 *)

%Y Numbers not in (complement of) A003329.

%Y Cf. A048929 (numbers that are the sum of six positive cubes in exactly 1 way).

%K nonn,fini

%O 1,2

%A _Eric W. Weisstein_