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%I #5 Jan 23 2024 08:40:58
%S 1,1,1,1,1,2,5,13,31,75,155,344,808,2019,5136,13422,34720,91055,
%T 238447,630753,1678780,4502862,12135507,32873145,89324119,243745113,
%U 667153916,1832553339,5048767393,13950607375,38649239592,107345311219,298820158401,833680894927
%N a(n) = [x^(n^2)] Product_{k=1..n} (x^(k^2) + 1 + 1/x^(k^2)).
%t Table[Coefficient[Product[(x^(k^2) + 1 + 1/x^(k^2)), {k, 1, n}], x, n^2], {n, 0, 33}]
%Y Cf. A000290, A316706, A350249, A368243.
%K nonn
%O 0,6
%A _Ilya Gutkovskiy_, Jan 23 2024