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Number of binary rooted trees with n nodes and height exactly 7.
1

%I #16 Dec 19 2020 14:30:42

%S 0,0,0,0,0,0,0,1,6,20,53,125,274,571,1147,2241,4267,7963,14563,26202,

%T 46354,80863,139025,236050,395634,655538,1073437,1738973,2786434,

%U 4419549,6937595,10783915,16596725,25299245,38192894,57115677

%N Number of binary rooted trees with n nodes and height exactly 7.

%H Alois P. Heinz, <a href="/A036596/b036596.txt">Table of n, a(n) for n = 0..127</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 0,9

%A _N. J. A. Sloane_.