%I
%S 0,0,0,0,0,1,4,13,36,93,225,524,1179,2596,5597,11893,24915,51649,
%T 105981,215731,435761,874620,1744890,3463013,6839211,13448100,
%U 26334344,51374820,99868542,193493456,373705537,719606064,1381698784,2645695793
%N Number of 6ary rooted trees with n nodes and height exactly 5.
%H Sean A. Irvine, <a href="/A036643/b036643.txt">Table of n, a(n) for n = 0..1554</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 4Valent 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_.
