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Number of increasing rooted trees where each node at height h has 0 or h+1 children.
2

%I #6 Mar 30 2012 17:37:12

%S 1,1,0,1,0,0,5,0,0,35,189,0,0,10395,18018,77616,0,5360355,15338862,

%T 72648576,108636528,4737022290,47846771280,84845128368,833082788538,

%U 6459731648370,163728321649200,767835548449200,3922621945211970

%N Number of increasing rooted trees where each node at height h has 0 or h+1 children.

%C In an increasing rooted tree, nodes are numbered and numbers increase as you move away from root.

%H <a href="/index/Ro#rooted">Index entries for sequences related to rooted trees</a>

%Y Cf. A075532, A075533.

%K nonn

%O 1,7

%A _Christian G. Bower_, Sep 19 2002