This is a front-end for the Online Encyclopedia of Integer Sequences, made by Christian Perfect. The idea is to provide OEIS entries in non-ancient HTML, and then to think about how they're presented visually. The source code is on GitHub.
%I A332108 #23 Aug 05 2025 00:12:52
%S A332108 1,2,3,4,5,6,7,9,10,11,12,13,14,16,17,18,19,20,21,23,24,25,26,27,28,
%T A332108 30,31,32,33,35,37,38,39,40,42,44,45,46,47,49,51,52,53,54,56,58,59,61,
%U A332108 63,65,66,68,70,72,73,75,77,79,80,82,84,87,89,90,91,94,96,98
%N A332108 Numbers that are not the sum of eight (8) positive cubes.
%C A332108 The sequence is finite, with last term a(142) = 620.
%H A332108 M. F. Hasler, <a href="/A332108/b332108.txt">Table of n, a(n) for n = 1..142</a>
%H A332108 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. See p. 4.
%e A332108 The smallest positive numbers not in the sequence are:
%e A332108 8 = 8 * 1^3, 15 = 2^3 + 7 * 1^3, 22 = 2 * 2^3 + 6 * 1^3,
%e A332108 29 = 3 * 2^3 + 5 * 1^3 and then 34 = 3^3 + 7 * 1^3.
%e A332108 The last 10 terms of the sequence are a(133 .. 142) = {372, 381, 395, 407, 414, 421, 444, 463, 470, 620}.
%t A332108 Select[Range[650], (pr = PowersRepresentations[#, 8, 3][[;; , 1]]) == {} || Max[pr] == 0 &] (* _Amiram Eldar_, Aug 25 2020 *)
%o A332108 (PARI) A332108=setminus([1..620],A003331_upto(620))
%Y A332108 Complement of A003331.
%Y A332108 Cf. A332107, A332109, A332110 (analog for 7, 9 resp. 10 cubes).
%K A332108 nonn,fini,full
%O A332108 1,2
%A A332108 _M. F. Hasler_, Aug 24 2020