A096802 Row sums of triangle A096801, which transforms the (n+m)-dimensional partitions of n into the (n+m+1)-dimensional partitions of n, for any fixed m.
1, 1, 2, 4, 12, 42, 188, 950, 5362, 33361, 222120, 1600145, 12069976, 98105654
Offset: 0