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A036606 Triangle of coefficients of generating function of 4-ary rooted trees of height at most n.

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%I A036606 #14 Jul 08 2025 21:48:25
%S A036606 1,1,1,1,1,1,1,1,1,1,1,1,2,3,5,6,8,9,11,11,12,11,11,9,8,6,5,3,2,1,1,1,
%T A036606 1,1,2,4,8,14,26,44,76,125,206,327,521,802,1231,1845,2742,3987,5748,
%U A036606 8124,11364,15615,21212,28336,37412,48597,62368,78810,98359
%N A036606 Triangle of coefficients of generating function of 4-ary rooted trees of height at most n.
%H A036606 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 A036606 <a href="/index/Ro#rooted">Index entries for sequences related to rooted trees</a>
%e A036606 Triangle begins:
%e A036606 1;
%e A036606 1,1;
%e A036606 1,1,1,1,1,1;
%e A036606 1,1,1,2,3,5,6,8,9,11,11,12,11,11,9,8,6,5,3,2,1,1;
%K A036606 nonn,tabf,easy
%O A036606 0,13
%A A036606 _N. J. A. Sloane_