%I #15 Dec 19 2020 11:28:26
%S 0,0,0,0,0,0,1,5,14,32,66,127,231,405,682,1118,1771,2747,4133,6104,
%T 8771,12389,17060,23101,30527,39650,50279,62624,76150,90879,105859,
%U 120914,134719,147040,156412,162812,164968,163377,157278,147816
%N Number of binary rooted trees with n nodes and height exactly 6.
%H Alois P. Heinz, <a href="/A036595/b036595.txt">Table of n, a(n) for n = 0..63</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 0,8
%A _N. J. A. Sloane_.