A112508 Counts the objects described in A047969 and A089246 when grouped by minimum part. (Row sums give A047970).
1, 1, 1, 1, 1, 3, 1, 1, 3, 9, 1, 1, 3, 9, 29, 1, 1, 3, 9, 29, 101
Offset: 1
Examples
Row 4 of the triangular array is (1 1 3 9) because there are nine tuples with a minimum value of 1, three tuples with a minimum value of 2, one tuple with a minimum value of 3 and one tuple with a minimum value of 4; the relevant unordered partitions are illustrated in the below Gaussian polynomial template: 4 31 32 33 211 221 222 1111