id:A002707 - OEIS Search Results

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Number of ternary trees with n nodes.
(Formerly M3128 N1268)

+0
1

1, 1, 3, 31, 8401, 100130704103, 167321084032306100365838018661441, 780729803567659232170209385771412393899822868427528396719062233553621064241305757906662806984051 (list; graph; listen)

	OFFSET	`0,3`
	REFERENCES	`Z. A. Melzak, A note on homogeneous dendrites, Canad. Math. Bull., 11 (1968), 85-93.`
	LINKS	`Index entries for sequences related to trees`
	FORMULA	`a(n) = a(n-1)(a(n-1)+a(n-2))(a(n-1)+a(n-2)+a(n-3))/6 + a(n-1)(a(n-1)+a(n-2))/(a(n-2)+a(n-3))(a(n-1)/a(n-2)-a(n-2)/a(n-3)) + a(n-1)^2/a(n-2).`
	CROSSREFS	`Sequence in context: A022499 A129209 A134721 this_sequence A005042 A136582 A119937` `Adjacent sequences: A002704 A002705 A002706 this_sequence A002708 A002709 A002710`
	KEYWORD	`nonn,nice,easy`
	AUTHOR	`njas`
	EXTENSIONS	`More terms and recurrence from James A. Sellers (sellersj(AT)math.psu.edu), Feb 14 2000`

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Last modified July 24 12:00 EDT 2008. Contains 142294 sequences.

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