A triangle related to rooted trees.

Terms

a(0) =1a(1) =2a(2) =1a(3) =10a(4) =8a(5) =2a(6) =82a(7) =86a(8) =36a(9) =6a(10) =938a(11) =1202a(12) =668a(13) =192a(14) =24a(15) =13778a(16) =20772a(17) =14118a(18) =5452a(19) =1200a(20) =120a(21) =247210a(22) =427828a(23) =341122a(24) =161688a(25) =48312a(26) =8640a(27) =720a(28) =5240338a(29) =10228458