Number of finite sequences of distinct integer partitions with total sum n.

Terms

a(0) =1a(1) =1a(2) =2a(3) =7a(4) =13a(5) =35a(6) =87a(7) =191a(8) =470a(9) =1080a(10) =2532a(11) =5778a(12) =13569a(13) =30715a(14) =69583a(15) =160386a(16) =360709a(17) =814597a(18) =1824055a(19) =4102430a(20) =9158405a(21) =20378692a(22) =45215496a(23) =100055269a(24) =221388993a(25) =486872610a(26) =1069846372a(27) =2343798452a(28) =5127889666a(29) =11186214519