Number of n-node rooted trees whose node-height is less than their number of leaves.

Terms

a(0) =0a(1) =0a(2) =0a(3) =1a(4) =1a(5) =5a(6) =10a(7) =30a(8) =76a(9) =219a(10) =582a(11) =1662a(12) =4614a(13) =13080a(14) =36903a(15) =105098a(16) =298689a(17) =852734a(18) =2434660a(19) =6964349a(20) =19931147a(21) =57100177a(22) =163647811a(23) =469290004a(24) =1346225668a(25) =3863239150a(26) =11089085961a(27) =31838349956a(28) =91430943515a(29) =262615909503