A233447 Floor(compositorial(n) / n!), that is, floor(A036691(n) / A000142(n)).
4, 12, 32, 72, 144, 288, 576, 1080, 1920, 3456, 6283, 10996, 18609, 31901, 53169, 86400, 137223, 213458, 337040, 539264, 847415, 1309642, 1992933, 2989400, 4543888, 6815833, 10097530, 15146295, 22980586, 34470879, 51150337, 76725506, 113925752, 167537870, 244126611
Offset: 1
Keywords
Programs
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PARI
a(n)=my(c,p,N);N=n;c=4;p=1;while(n>0,if(!isprime(c),p=p*c;n=n-1);c=c+1);floor(p/N!) \\ Ralf Stephan, Dec 21 2013