id:A036373 - OEIS Search Results

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Number of ternary rooted trees with n nodes and height at most 5.

+0
1

1, 1, 1, 2, 4, 8, 16, 33, 63, 121, 225, 415, 749, 1344, 2365, 4129, 7106, 12104, 20354, 33883, 55706, 90628, 145729, 231801, 364555, 567206, 872727, 1328545, 2000536, 2980554, 4393287, 6407683, 9246830, 13204526, 18657905, 26088244 (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: A078227 A138814 A137181 this_sequence A119610 A121485 A098588` `Adjacent sequences: A036370 A036371 A036372 this_sequence A036374 A036375 A036376`
	KEYWORD	`nonn,fini`
	AUTHOR	`N. J. A. Sloane (njas(AT)research.att.com), E. M. Rains (rains(AT)caltech.edu)`

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Last modified November 30 13:13 EST 2009. Contains 167758 sequences.

AT&T Labs Research