Number of n-node rooted trees of height at most 7.

Terms

a(0) =1a(1) =1a(2) =1a(3) =2a(4) =4a(5) =9a(6) =20a(7) =48a(8) =115a(9) =285a(10) =710a(11) =1789a(12) =4514a(13) =11431a(14) =28922a(15) =73182a(16) =184917a(17) =466755a(18) =1176393a(19) =2961205a(20) =7443770a(21) =18689435a(22) =46869152a(23) =117412440a(24) =293832126a(25) =734645046a(26) =1835147741a(27) =4580420719a(28) =11423511895a(29) =28469058647