Number of partitions of n into distinct parts with 3 levels of parentheses.

Terms

a(0) =1a(1) =1a(2) =1a(3) =5a(4) =11a(5) =25a(6) =60a(7) =141a(8) =321a(9) =742a(10) =1688a(11) =3810a(12) =8580a(13) =19225a(14) =42844a(15) =95156a(16) =210480a(17) =463866a(18) =1018957a(19) =2231114a(20) =4870400a(21) =10601805a(22) =23015117a(23) =49833471a(24) =107636878a(25) =231940988a(26) =498671281a(27) =1069826434a(28) =2290402343a(29) =4893782240