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 A343409 #28 Sep 12 2023 02:08:30
%S A343409 0,1,3,6,8,10,15,21,27,28,36,45,55,64,66,78,91,105,120,125,136,153,
%T A343409 171,190,204,210,216,231,253,276,300,312,315,323,325,343,351,378,406,
%U A343409 435,465,496,504,512,528,561,588,595,630,666,703,720,729,741,780,820
%N A343409 Numbers whose square is the sum of one or more consecutive nonnegative cubes.
%C A343409 Roots of square terms of A217843. Sequence contains (but is not limited to) cubes (A000578) and triangular numbers (A000217).
%F A343409 Union of A000217 and A126200.
%e A343409 8 is a term because 8^2 = 64 = 4^3.
%e A343409 10 is a term because 10^2 = 100 = 1^3 + 2^3 + 3^3 + 4^3.
%p A343409 N:= 1000: # for terms <= N
%p A343409 M:= floor(N^(2/3)):
%p A343409 S:= [seq(n^2*(n+1)^2/4, n=0..M)]:
%p A343409 SD:= {0,seq(seq(S[i]-S[j],j=1..i-1),i=1..M+1)}:
%p A343409 Q:= select(t -> t <= N^2 and issqr(t),SD):
%p A343409 sort(convert(map(sqrt,Q),list)); # _Robert Israel_, Sep 11 2023
%Y A343409 Cf. A000217, A000578, A126200, A163393, A217843.
%K A343409 nonn,easy
%O A343409 1,3
%A A343409 _Lamine Ngom_, Apr 14 2021