Perl 6, 114 bytes
my @b=1;for 1..+slurp() {@b.push: 1-[+] (^$^m).map: {([*] $m+1-$_..$m)*@b[$_]/($m+1-$_)/([*] 1..$_)}};say @b[*-1];
I could have made it shorter, but that would sacrifice lots of speed.
bb94
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