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A002707 Number of ternary trees with n nodes.
(Formerly M3128 N1268)
+0
1
1, 1, 3, 31, 8401, 100130704103, 167321084032306100365838018661441, 78072980356765923217020938577141239389982286842752839671906223355362106424130575\ 7906662806984051 (list; graph; listen)
OFFSET

0,3

REFERENCES

N. J. A. Sloane and Simon Plouffe, The Encyclopedia of Integer Sequences, Academic Press, 1995 (includes this sequence).

N. J. A. Sloane, A Handbook of Integer Sequences, Academic Press, 1973 (includes this sequence).

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

Adjacent sequences: A002704 A002705 A002706 this_sequence A002708 A002709 A002710

Sequence in context: A022499 A129209 A134721 this_sequence A144964 A118913 A005042

KEYWORD

nonn,nice,easy

AUTHOR

N. J. A. Sloane (njas(AT)research.att.com).

EXTENSIONS

More terms and recurrence from James A. Sellers (sellersj(AT)math.psu.edu), Feb 14 2000

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Last modified November 8 20:39 EST 2009. Contains 166234 sequences.


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