A036643 - OEIS

%I #20 Jul 09 2022 18:29:40

%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 6-ary 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..1555</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_.