Number of ways to choose a rooted partition of each part in a strict rooted partition of n.

Terms

a(0) =1a(1) =1a(2) =1a(3) =3a(4) =5a(5) =10a(6) =17a(7) =32a(8) =54a(9) =100a(10) =166a(11) =289a(12) =494a(13) =840a(14) =1393a(15) =2400a(16) =3931a(17) =6498a(18) =10861a(19) =17728a(20) =28863a(21) =47557a(22) =77042a(23) =123881a(24) =201172a(25) =322459a(26) =517032a(27) =827993a(28) =1316064a(29) =2084632