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 A363778 #13 Jun 22 2023 07:21:03
%S A363778 1,1,0,1,-1,0,1,-2,1,0,1,-3,3,-1,0,1,-4,6,-4,0,0,1,-5,10,-10,3,1,0,1,
%T A363778 -6,15,-20,12,0,-2,0,1,-7,21,-35,31,-9,-5,3,0,1,-8,28,-56,65,-36,-2,
%U A363778 12,-3,0,1,-9,36,-84,120,-96,24,24,-18,1,0,1,-10,45,-120,203,-210,105,20,-54,18,2,0
%N A363778 Square array T(n,k), n >= 0, k >= 0, read by antidiagonals, where column k is the expansion of 1/(Sum_{j>=0} x^(j^2))^k.
%F A363778 T(0,k) = 1; T(n,k) = -(k/n) * Sum_{j=1..n} A162552(j) * T(n-j,k).
%e A363778 Square array begins:
%e A363778 1, 1, 1, 1, 1, 1, 1, ...
%e A363778 0, -1, -2, -3, -4, -5, -6, ...
%e A363778 0, 1, 3, 6, 10, 15, 21, ...
%e A363778 0, -1, -4, -10, -20, -35, -56, ...
%e A363778 0, 0, 3, 12, 31, 65, 120, ...
%e A363778 0, 1, 0, -9, -36, -96, -210, ...
%e A363778 0, -2, -5, -2, 24, 105, 294, ...
%Y A363778 Columns k=0..3 give A000007, A317665, A363774, A363775.
%Y A363778 Main diagonal gives A363780.
%Y A363778 Cf. A045847, A162552, A363779.
%K A363778 sign,tabl
%O A363778 0,8
%A A363778 _Seiichi Manyama_, Jun 21 2023