A319591 - OEIS

%I #13 Dec 17 2018 02:27:32

%S 1,2,17,364,14595,937776,88507276,11584785137,2017129470049,

%T 452573312572094,127585778625167901,44275881599081757633,

%U 18594652294164085489646,9315786786179883210141889,5499383628157822564248546214,3784760890972848935690646794792

%N Number of nonnegative integer matrices with n columns and any number of nonzero distinct rows with every column summing to 3 up to permutation of rows.

%C Also, the number of factorizations of m^3 into distinct factors where m is a product of n distinct primes.

%H Andrew Howroyd, <a href="/A319591/b319591.txt">Table of n, a(n) for n = 0..100</a>

%Y Row n=3 of A219585.

%Y Cf. A322487.

%K nonn

%O 0,2

%A _Andrew Howroyd_, Dec 16 2018