A075533 Number of labeled rooted trees where each node at height h has 0 or h+1 children.

1, 2, 0, 12, 0, 0, 840, 0, 0, 50400, 831600, 0, 0, 302702400, 1135134000, 14529715200, 0, 2315673360000, 15545887156800, 140792940288000, 443497761907200, 28006062372288000, 623360743125120000