Number of binary rooted trees with n nodes and height exactly 12.

Terms

a(0) =0a(1) =0a(2) =0a(3) =0a(4) =0a(5) =0a(6) =0a(7) =0a(8) =0a(9) =0a(10) =0a(11) =0a(12) =1a(13) =11a(14) =65a(15) =283a(16) =1030a(17) =3335a(18) =9952a(19) =27987a(20) =75287a(21) =195752a(22) =495613a(23) =1228577a(24) =2994065a(25) =7195616a(26) =17094566a(27) =40219347a(28) =93848187a(29) =217433025