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Search: id:A036370
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| A036370 |
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Triangle of coefficients of generating function of ternary rooted trees of height at most n. |
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+0
12
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| 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 3, 4, 4, 5, 4, 4, 3, 2, 1, 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
(list; graph; listen)
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OFFSET
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0,12
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LINKS
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Index entries for sequences related to rooted trees
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FORMULA
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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.
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EXAMPLE
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1; 1, 1; 1, 1, 1, 1, 1; 1, 1, 1, 2, 3, 4, 4, 5, 4, 4, 3, 2, 1, 1; ...
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CROSSREFS
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Cf. A036437.
Sequence in context: A065852 A088807 A036371 this_sequence A005208 A110007 A088527
Adjacent sequences: A036367 A036368 A036369 this_sequence A036371 A036372 A036373
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KEYWORD
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nonn,easy,tabf
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AUTHOR
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njas, Eric Rains (rains(AT)caltech.edu)
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