%I #13 Dec 19 2020 11:28:37
%S 0,0,0,0,0,1,4,9,17,29,45,66,89,118,142,171,187,205,202,201,177,158,
%T 123,99,66,47,26,17,7,4,1,1
%N Number of binary rooted trees with n nodes and height exactly 5.
%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 0,7
%A _N. J. A. Sloane_.