%I #15 Dec 19 2020 14:23:48
%S 0,0,0,0,0,0,0,0,0,0,1,9,44,162,509,1446,3835,9687,23612,56026,130192,
%T 297562,670942,1495811,3302564,7230246,15710344,33906496,72728133,
%U 155120068,329124137,694925899,1460623771,3056894972,6371896316
%N Number of binary rooted trees with n nodes and height exactly 10.
%H Alois P. Heinz, <a href="/A036599/b036599.txt">Table of n, a(n) for n = 0..1023</a>
%H E. M. Rains and N. J. A. Sloane, <a href="https://cs.uwaterloo.ca/journals/JIS/cayley.html">On Cayley's Enumeration of Alkanes (or 4-Valent Trees)</a>, J. Integer Sequences, Vol. 2 (1999), Article 99.1.1.
%H <a href="/index/Ro#rooted">Index entries for sequences related to rooted trees</a>
%K nonn,fini,full
%O 0,12
%A _N. J. A. Sloane_.