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 A368243 #25 Jan 25 2024 08:03:10 %S A368243 1,1,0,0,0,0,0,0,2,3,0,0,5,15,0,0,127,184,0,0,819,1382,0,0,9441,18176, %T A368243 0,0,96562,172371,0,0,1192142,2252342,0,0,13869696,25741462,0,0, %U A368243 177056022,334176492,0,0,2207693292,4182801839,0,0,28966597122,55125154468 %N A368243 Number of solutions to +- 1^2 +- 2^2 +- 3^2 +- ... +- n^2 = n^2. %F A368243 a(n) = [x^(n^2)] Product_{k=1..n} (x^(k^2) + 1/x^(k^2)). %p A368243 b:= proc(n, i) option remember; (m-> `if`(n>m, 0, `if`(n=m, 1, %p A368243 b(abs(n-i^2), i-1) +b(n+i^2, i-1))))((1+(3+2*i)*i)*i/6) %p A368243 end: %p A368243 a:= n-> `if`(irem(n, 4)>1, 0, b(n^2, n)): %p A368243 seq(a(n), n=0..49); # _Alois P. Heinz_, Jan 22 2024 %Y A368243 Cf. A063890, A158092, A348165. %K A368243 nonn %O A368243 0,9 %A A368243 _Ilya Gutkovskiy_, Jan 22 2024