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 A382975 #14 Apr 11 2025 07:55:33
%S A382975 1,-1,1,-1,0,1,0,-1,-1,2,0,-1,0,-1,2,1,-1,-1,-1,-1,3,0,0,0,0,-2,-2,4,
%T A382975 1,0,0,-2,0,-2,-2,5,0,1,0,-1,0,-1,-2,-3,6,0,1,1,0,-1,-1,-2,-3,-3,8,0,
%U A382975 1,0,0,-1,2,-1,-2,-4,-5,10,0,1,1,0,1,-2,0,-1,-2,-5,-5,12
%N A382975 Square array A(n,k), n >= 0, k >= 0, read by antidiagonals downwards, where A(n,k) = [x^n * y^k] Product_{j>=1} (1 + x^j - y^j).
%e A382975 Square array begins:
%e A382975 1, -1, -1, 0, 0, 1, 0, 1, ...
%e A382975 1, 0, -1, -1, -1, 0, 0, 1, ...
%e A382975 1, -1, 0, -1, 0, 0, 0, 1, ...
%e A382975 2, -1, -1, 0, -2, -1, 0, 0, ...
%e A382975 2, -1, -2, 0, 0, -1, -1, 1, ...
%e A382975 3, -2, -2, -1, -1, 2, -2, 0, ...
%e A382975 4, -2, -2, -2, -1, 0, 0, -1, ...
%e A382975 5, -3, -3, -2, -1, 0, -1, 4, ...
%Y A382975 Columns k=0..2 give A000009, (-1)*A025147, (-1)*A015744.
%Y A382975 Rows n=0..2 give A010815, A078616, A297054.
%Y A382975 Main diagonal gives A382980.
%Y A382975 Antidiagonal sums give A000007.
%Y A382975 Cf. A284593.
%K A382975 sign,tabl
%O A382975 0,10
%A A382975 _Seiichi Manyama_, Apr 11 2025