A332303 a(n) = (n^2)! * [x^(n^2)] 1 / (1 - Sum_{k>=1} x^(n*k) / (n*k)!).
1, 1, 7, 1849, 65782211, 633287284180541, 2684646142383590108047885, 7376495464848567792567195041277565905, 18175605935440100610889032969797881598437325871194971, 53139431374789917342401028242879020609739813068021830228099307511801461
Offset: 0
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Mathematica
Table[(n^2)! SeriesCoefficient[1/(1 - Sum[x^(n k)/(n k)!, {k, 1, n}]), {x, 0, n^2}], {n, 0, 9}]