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Number of labeled rooted trees where each node at height h has 0 or h+1 children.
3

%I #11 Feb 24 2025 08:35:00

%S 1,2,0,12,0,0,840,0,0,50400,831600,0,0,302702400,1135134000,

%T 14529715200,0,2315673360000,15545887156800,140792940288000,

%U 443497761907200,28006062372288000,623360743125120000

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

%H Sean A. Irvine, <a href="/A075533/b075533.txt">Table of n, a(n) for n = 1..115</a>

%H Sean A. Irvine, <a href="https://github.com/archmageirvine/joeis/blob/master/src/irvine/oeis/a075/A075533.java">Java program</a> (github)

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

%Y Cf. A075532, A075534.

%K nonn,changed

%O 1,2

%A _Christian G. Bower_, Sep 19 2002