A277239 - OEIS

A277239

Number A(n,k) of factorizations of m^n into exactly k factors, where m is a product of two distinct primes; square array A(n,k), n>=0, k>=0, read by antidiagonals.

1, 1, 0, 1, 1, 0, 1, 2, 1, 0, 1, 2, 5, 1, 0, 1, 2, 8, 8, 1, 0, 1, 2, 9, 19, 13, 1, 0, 1, 2, 9, 27, 42, 18, 1, 0, 1, 2, 9, 30, 74, 78, 25, 1, 0, 1, 2, 9, 31, 95, 168, 139, 32, 1, 0, 1, 2, 9, 31, 105, 248, 363, 224, 41, 1, 0, 1, 2, 9, 31, 108, 300, 614, 703, 350, 50, 1, 0

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OFFSET

0,8

LINKS

Alois P. Heinz, Antidiagonals n = 0..45, flattened

EXAMPLE

Square array A(n,k) begins:

1, 1, 1, 1, 1, 1, 1, 1, 1, ...

0, 1, 2, 2, 2, 2, 2, 2, 2, ...

0, 1, 5, 8, 9, 9, 9, 9, 9, ...

0, 1, 8, 19, 27, 30, 31, 31, 31, ...

0, 1, 13, 42, 74, 95, 105, 108, 109, ...