id:A036372 - OEIS Search Results

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Number of ternary rooted trees with n nodes and height at most 4.

+0
1

1, 1, 1, 2, 4, 7, 12, 20, 31, 47, 70, 99, 137, 184, 239, 300, 369, 432, 498, 551, 594, 614, 624, 601, 570, 514, 453, 378, 312, 238, 181, 128, 89, 56, 37, 20, 12, 6, 3, 1, 1 (list; graph; listen)

	OFFSET	`0,4`
	LINKS	`Index entries for sequences related to rooted trees`
	FORMULA	`If T_i(z) = g.f. for ternary trees of height at most i, T_{i+1}(z)=1+z(T_i(z)^3/6+T_i(z^2)T_i(z)/2+T_i(z^3)/3); T_0(z) = 1.`
	CROSSREFS	`Sequence in context: A105856 A010672 A122515 this_sequence A132218 A101230 A128129` `Adjacent sequences: A036369 A036370 A036371 this_sequence A036373 A036374 A036375`
	KEYWORD	`nonn,full,fini`
	AUTHOR	`N. J. A. Sloane (njas(AT)research.att.com), E. M. Rains (rains(AT)caltech.edu)`

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Last modified December 7 08:40 EST 2009. Contains 170430 sequences.

AT&T Labs Research