Number of n-node rooted trees of edge-height equal to their number of leaves.

Terms

a(0) =0a(1) =1a(2) =0a(3) =2a(4) =1a(5) =6a(6) =7a(7) =26a(8) =43a(9) =135a(10) =276a(11) =755a(12) =1769a(13) =4648a(14) =11406a(15) =29762a(16) =75284a(17) =195566a(18) =503165a(19) =1310705a(20) =3402317a(21) =8892807a(22) =23231037a(23) =60906456a(24) =159786040a(25) =420144405a(26) =1105673058a(27) =2914252306a(28) =7688019511a(29) =20304253421