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A036371 Number of ternary rooted trees with n nodes and height at most 3. +0
1
1, 1, 1, 2, 3, 4, 4, 5, 4, 4, 3, 2, 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: A058277 A065852 A088807 this_sequence A036370 A005208 A110007

Adjacent sequences: A036368 A036369 A036370 this_sequence A036372 A036373 A036374

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 November 24 23:16 EST 2009. Contains 167481 sequences.


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