Number of rooted trees with n nodes and omega-valency 1.

Terms

a(0) =1a(1) =1a(2) =2a(3) =3a(4) =7a(5) =13a(6) =31a(7) =66a(8) =159a(9) =365a(10) =900a(11) =2162a(12) =5417a(13) =13436a(14) =34165a(15) =86603a(16) =223028a(17) =574493a(18) =1495524a(19) =3900055a(20) =10246172a(21) =26982966a(22) =71447432a(23) =189664782a(24) =505605729a(25) =1351179886a(26) =3623051567a(27) =9737403960a(28) =26243202664a(29) =70878565004