A319591 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.

1, 2, 17, 364, 14595, 937776, 88507276, 11584785137, 2017129470049, 452573312572094, 127585778625167901, 44275881599081757633, 18594652294164085489646, 9315786786179883210141889, 5499383628157822564248546214, 3784760890972848935690646794792

Offset: 0

Author

Andrew Howroyd, Dec 16 2018

Keywords

• nonn

Comments

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

Links

• Andrew Howroyd, Table of n, a(n) for n = 0..100

Crossrefs

Row n=3 of A219585.

Cf. A322487.