%I #16 Dec 23 2020 04:36:28
%S 0,0,0,0,1,3,8,18,35,65,114,194,316,510,793,1223,1839,2737,3984,5746,
%T 8123,11363,15615,21212,28336,37412,48597,62368,78810,98359,120910,
%U 146797,175601,207443,241515,277666,314674,352152,388503
%N Number of 4-ary rooted trees with n nodes and height exactly 4.
%H Sean A. Irvine, <a href="/A036628/b036628.txt">Table of n, a(n) for n = 0..84</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_.