A036635 Number of 5-ary rooted trees with n nodes and height exactly 4.

0, 0, 0, 0, 1, 3, 8, 18, 38, 73, 136, 244, 426, 728, 1221, 2016, 3284, 5283, 8403, 13227, 20616, 31824, 48685, 73801, 110920, 165256, 244168, 357694, 519757, 748971, 1070636, 1517977, 2135238, 2979427, 4124960, 5665880, 7722472