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%I #18 Mar 22 2024 08:56:04
%S 0,0,0,0,0,1,4,13,32,74,155,316,612,1160,2126,3829,6737,11672,19856,
%T 33332,55112,90014,145105,231200,363985,566692,872274,1328167,2000224,
%U 2980316,4393106,6407555,9246741,13204470,18657868,26088224,36095090
%N Number of ternary rooted trees with n nodes and height exactly 5.
%H Sean A. Irvine, <a href="/A036420/b036420.txt">Table of n, a(n) for n = 0..121</a>
%H A. T. Balaban, J. W. Kennedy and L. V. Quintas, <a href="https://doi.org/10.1021/ed065p304">The number of alkanes having n carbons and a longest chain of length d</a>, J. Chem. Education, 65 (1988), 304-313.
%H <a href="/index/Ro#rooted">Index entries for sequences related to rooted trees</a>
%F a(n) = A036373(n) - A036372(n). - _Sean A. Irvine_, Oct 31 2020
%Y Cf. A036370, A036437.
%K nonn,fini,full
%O 0,7
%A _N. J. A. Sloane_, Eric Rains (rains(AT)caltech.edu)