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%I #4 Oct 28 2020 09:29:25
%S 1,1,0,3,8,50,144,2394,8448,89424,576000,20124720,57231360,3213905760,
%T 11285084160,217204092000,2843121254400,187660890063360,
%U 558255985459200,64849189355274240,239933887119360000,8405611881201561600,116110668405473280000,13912098832249673932800
%N a(n) = n! * [x^n] Product_{k=1..n, gcd(n,k) = 1} (1 + x^k/k).
%t Table[n! SeriesCoefficient[Product[(1 + Boole[GCD[n, k] == 1] x^k/k), {k, 1, n}], {x, 0, n}], {n, 0, 23}]
%Y Cf. A007838, A036998, A338437.
%K nonn
%O 0,4
%A _Ilya Gutkovskiy_, Oct 27 2020
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