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%I #5 Mar 31 2012 13:23:37
%S 1,2,3,4,8,13,8,46,44,75,16,124,308,308,541,32,572,1790,2536,2612,
%T 4683,64,1568,8352,17028,24704,25988,47293,128,6728,40628,137498,
%U 187928,277456,296564,545835,256,18768,228308,719056,1699184,2356560,3526448
%N Triangular array read by rows: a(n, k) = sum of number of ordered factorizations of all prime signatures with n total prime factors and k distinct prime factors.
%C A093936 is an analogous array for unordered factorizations.
%C First column is A000079. First two diagonals are A000670 and A005649.
%e There are two prime signatures with 5 total primes and 3 distinct primes: p^3*q*r and p^2*q^2*r. A074206(p^3*q*r) = 132 and A074206(p^2*q^2*r) = 176, so a(5, 3) = 132+176 = 308.
%Y A035341 gives the row sums. Cf. A050324, A074206, A093936, A096443.
%K nonn,tabl
%O 1,2
%A _Alford Arnold_, Jul 04 2004, Nov 22 2005
%E Edited and extended by _David Wasserman_, Feb 22 2008
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