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%I #5 Jul 17 2020 00:36:23
%S 1,1,1,28,257,103126,46667437282,140776183474585,38414859209967468545,
%T 8006615289848673023223926602,
%U 100856872226698664486645150126408916015626,7425498079138047573566961707334890995112470771975
%N a(n) = (n!)^n * [x^n] Product_{k>=1} (1 + x^k/(k!)^n).
%t Table[(n!)^n SeriesCoefficient[Product[(1 + x^k/(k!)^n), {k, 1, n}], {x, 0, n}], {n, 0, 11}]
%Y Cf. A007837, A183229, A183230, A215910.
%K nonn
%O 0,4
%A _Ilya Gutkovskiy_, Jul 16 2020
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