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%I #3 Mar 31 2012 13:21:30
%S 1,0,1,2,1,2,0,1,2,1,1,2,1,0,1,5,1,0,1,3,3,0,1,4,2,1,1,4,2,1,0,1,5,3,
%T 1,0,1,5,3,1,0,0,1,6,3,0,1,0,1,5,3,1,1,0,1,9,3,1,1,0,1,9,3,1,1,0,0,1,
%U 8,5,1,1,0,0,1,8,5,1,1,0,0,0,1,10,4,2,1,0,0,0,1,9,5,1,2,0,0,0,1,10,5,1,1,1
%N Factorization of n! into primorials.
%C Factorial of n has a unique representation as a product of primorials: n! = 2#^T(n,1)*3#^T(n,2)*...*P_{Pi(n)}#^T(n,Pi(n)).
%F T(n, k) = A115727(n, k)-A115727(n, k+1).
%e Rows start: 1; 0,1; 2,1; 2,0,1; 2,1,1; 2,1,0,1; 5,1,0,1; 3,3,0,1.
%Y Cf. A115627, A000142, A002110. Row lengths are A000720.
%K nonn,tabf
%O 2,4
%A _Franklin T. Adams-Watters_, Jan 26 2006
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