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%I #16 Mar 17 2015 18:49:19
%S 1,5,66,686,6721,58616,476781,3608348,25781989,174810494,1132328205,
%T 7037425172,42140788751,243918472743,1368647208107,7462686474948,
%U 39626100989332,205283558905562,1039263967957447,5149048724566723,24998922141116056,119073277412589351
%N Number of tripartite partitions of (n,n,n) into triples.
%C a(n) is also the number of factorizations of m^n where m is a product of 3 distinct primes. a(1) = 5: (2*3*5)^1 = 30 has 5 factorizations: 30, 5*6, 3*10, 2*3*5, 2*15.
%H Sean A. Irvine, <a href="/A219678/b219678.txt">Table of n, a(n) for n = 0..29</a>
%e a(1) = 5: [(1,1,1)], [(1,1,0),(0,0,1)], [(1,0,1),(0,1,0)], [(1,0,0),(0,1,0),(0,0,1)], [(0,1,1),(1,0,0)].
%Y Column k=3 of A219727.
%Y Cf. A219560.
%K nonn
%O 0,2
%A _Alois P. Heinz_, Nov 26 2012
%E More terms from _Sean A. Irvine_, Aug 14 2014
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