Number of n-node rooted trees of height at most 8.

Terms

a(0) =1a(1) =1a(2) =1a(3) =2a(4) =4a(5) =9a(6) =20a(7) =48a(8) =115a(9) =286a(10) =718a(11) =1832a(12) =4702a(13) =12159a(14) =31515a(15) =81888a(16) =212878a(17) =553557a(18) =1438741a(19) =3737331a(20) =9700188a(21) =25156049a(22) =65181067a(23) =168746672a(24) =436505846a(25) =1128256918a(26) =2914103577a(27) =7521450053a(28) =19400577711a(29) =50010551503