Number of n-node rooted trees of height at most 6.

Terms

a(0) =1a(1) =1a(2) =1a(3) =2a(4) =4a(5) =9a(6) =20a(7) =48a(8) =114a(9) =278a(10) =676a(11) =1653a(12) =4027a(13) =9816a(14) =23843a(15) =57833a(16) =139908a(17) =337856a(18) =814127a(19) =1958524a(20) =4703322a(21) =11278027a(22) =27003707a(23) =64571463a(24) =154207616a(25) =367841733a(26) =876450881a(27) =2086098057a(28) =4960230005a(29) =11782852600