[seqfan] Partitions and A101509

[Lior Manor]

Hi,

Consider the number of possible partitions of n were the partitions are not
a set of numbers but are elements of a matrix. Zeros are not allowed. (One
variation were zeros are allowed is A120733).

By manual calculation I get the first few elements to be: 1, 3, 7, 16, 35,
75, 159, 334
This is the beginning of A101509.

Is it trivial that these are the same sequences?

Lior