Number of trees with positive integer edge labels summing to n.

Terms

a(0) =1a(1) =1a(2) =2a(3) =4a(4) =9a(5) =21a(6) =55a(7) =146a(8) =415a(9) =1212a(10) =3653a(11) =11246a(12) =35346a(13) =112750a(14) =364714a(15) =1193202a(16) =3943557a(17) =13148575a(18) =44186841a(19) =149536376a(20) =509270554a(21) =1744342614a(22) =6005869285a(23) =20777091355a(24) =72192026878a(25) =251848377631a(26) =881865312582