%I #20 Jul 09 2022 18:29:36
%S 0,0,0,0,1,3,8,18,38,76,144,266,476,841,1452,2482,4179,6978,11515,
%T 18876,30642,49435,79116,125850,198771,312136,486940,755359,1164573,
%U 1785513,2721539,4125699,6218982,9324110,13902897,20620486,30419728
%N Number of 6-ary rooted trees with n nodes and height exactly 4.
%H Sean A. Irvine, <a href="/A036642/b036642.txt">Table of n, a(n) for n = 0..259</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 0,6
%A _N. J. A. Sloane_.