%I #12 Dec 20 2020 03:35:56
%S 1,1,1,1,1,1,1,1,1,1,1,1,1,1,2,3,5,7,11,14,19,24,31,37,46,52,61,68,76,
%T 81,88,90,94,94,94,90,88,81,76,68,61,52,46,37,31,24,19,14,11,7,5,3,2,
%U 1,1,1,1,1,2,4,8,15,29,52,95,168,297,513,887,1504,2543,4247
%N Triangle of coefficients of generating function of 6-ary rooted trees of height at most n.
%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>
%e Triangle begins:
%e 1;
%e 1,1;
%e 1,1,1,1,1,1,1,1;
%e ...
%K nonn,tabf,easy
%O 0,15
%A _N. J. A. Sloane_.