Triangle read by rows: row n lists number of ordered partitions into k parts of partitions of n.

Terms

a(0) =1a(1) =2a(2) =1a(3) =3a(4) =4a(5) =1a(6) =5a(7) =10a(8) =6a(9) =1a(10) =7a(11) =22a(12) =21a(13) =8a(14) =1a(15) =11a(16) =43a(17) =59a(18) =36a(19) =10a(20) =1a(21) =15a(22) =80a(23) =144a(24) =124a(25) =55a(26) =12a(27) =1a(28) =22a(29) =141