A074045 Number of rooted trees of 2n+1 nodes with every leaf at height n.

1, 1, 2, 3, 6, 9, 17, 28, 49, 83, 145, 246, 427, 729, 1256, 2152, 3702, 6341, 10892, 18662, 32016, 54853, 94034, 161055, 275929, 472461, 809033, 1384848, 2370434, 4056309, 6940744, 11873769, 20311018, 34737781, 59405959, 101577454