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Number of 5-ary rooted trees with n nodes and height exactly 5.
1

%I #20 Jul 09 2022 18:29:29

%S 0,0,0,0,0,1,4,13,36,93,221,509,1128,2448,5191,10851,22335,45478,

%T 91583,182865,362078,711987,1390733,2700853,5216235,10024242,19172599,

%U 36509036,69229008,130751300,245999814,461129979,861306027,1603189950

%N Number of 5-ary rooted trees with n nodes and height exactly 5.

%H Sean A. Irvine, <a href="/A036636/b036636.txt">Table of n, a(n) for n = 0..781</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 0,7

%A _N. J. A. Sloane_.