A136625 Transpose the irregular triangle A136624; rows will now count numeric partitions and columns will count new Catalan objects.
1, 1, 2, 1, 2, 3, 2, 3, 2, 2, 1, 6, 2, 2, 7, 4, 2, 2, 6, 8, 4, 2, 2, 4, 12
Offset: 0
Examples
A136624 begins 1 .1 ....2...1 ........2...3...3...1 ............2...2...6...7...6...4...1 ................2...2...4...8..12..15..17..14..10...5...1 ....................2...2...4 ........................2...2 ............................2 so row six of this sequence becomes 1 6 2 2 distributing the 11 partitions.