Number of binary rooted trees with n nodes and height exactly 7.

Terms

a(0) =0a(1) =0a(2) =0a(3) =0a(4) =0a(5) =0a(6) =0a(7) =1a(8) =6a(9) =20a(10) =53a(11) =125a(12) =274a(13) =571a(14) =1147a(15) =2241a(16) =4267a(17) =7963a(18) =14563a(19) =26202a(20) =46354a(21) =80863a(22) =139025a(23) =236050a(24) =395634a(25) =655538a(26) =1073437a(27) =1738973a(28) =2786434a(29) =4419549