Number of (unordered, unlabeled) rooted trimmed trees with n nodes.

Terms

a(0) =1a(1) =1a(2) =1a(3) =2a(4) =4a(5) =8a(6) =17a(7) =36a(8) =79a(9) =175a(10) =395a(11) =899a(12) =2074a(13) =4818a(14) =11291a(15) =26626a(16) =63184a(17) =150691a(18) =361141a(19) =869057a(20) =2099386a(21) =5088769a(22) =12373721a(23) =30173307a(24) =73771453a(25) =180800699a(26) =444101658a(27) =1093104961a(28) =2695730992a(29) =6659914175