Number of asymmetric mobiles (cycle rooted trees) with n generators.

Terms

a(0) =1a(1) =1a(2) =2a(3) =5a(4) =16a(5) =51a(6) =177a(7) =621a(8) =2246a(9) =8245a(10) =30783a(11) =116257a(12) =443945a(13) =1710255a(14) =6640939a(15) =25961690a(16) =102105115a(17) =403701135a(18) =1603721999a(19) =6397931901a(20) =25621989760a(21) =102965680728a(22) =415091909292