A055360 Number of increasing mobiles (circular rooted trees) with n nodes and 6 leaves.
120, 4320, 83628, 1169768, 13329084, 131888624, 1178097904, 9745456704, 75988344096, 565644812320, 4057808611860, 28255332957880, 192032572801508, 1279389256340592, 8384651931678936, 54203683325174736
Offset: 7
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Column 6 of A055356.