%I #15 Dec 19 2020 14:49:47
%S 0,0,0,0,0,0,0,0,1,7,27,81,213,516,1183,2610,5597,11737,24154,48934,
%T 97729,192777,375859,725259,1385706,2623894,4925791,9173476,16952955,
%U 31103472,56666571,102552641,184396932,329502786,585240171,1033392428
%N Number of binary rooted trees with n nodes and height exactly 8.
%H Alois P. Heinz, <a href="/A036597/b036597.txt">Table of n, a(n) for n = 0..255</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 0,10
%A _N. J. A. Sloane_.