Number of balanced p-trees with n leaves.

Terms

a(0) =1a(1) =1a(2) =1a(3) =2a(4) =2a(5) =4a(6) =4a(7) =8a(8) =9a(9) =16a(10) =20a(11) =40a(12) =47a(13) =83a(14) =111a(15) =201a(16) =259a(17) =454a(18) =603a(19) =1049a(20) =1432a(21) =2407a(22) =3390a(23) =6006a(24) =8222a(25) =13904a(26) =20304a(27) =34828a(28) =50291a(29) =85817