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Search: id:A036437
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| A036437 |
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Triangle of coefficients of generating function of ternary rooted trees of height exactly n. |
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+0
13
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| 1, 1, 1, 1, 1, 2, 4, 4, 5, 4, 4, 3, 2, 1, 1, 1, 3, 8, 15, 27, 43, 67, 97, 136, 183, 239, 300, 369, 432, 498, 551, 594, 614, 624, 601, 570, 514, 453, 378, 312, 238, 181, 128, 89, 56, 37, 20, 12, 6, 3, 1, 1, 1, 4, 13, 32, 74, 155, 316, 612, 1160, 2126, 3829, 6737
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OFFSET
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0,6
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REFERENCES
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A. T. Balaban, J. W. Kennedy and L. V. Quintas, The number of alkanes having n carbons and a longest chain of length d, J. Chem. Education, 65 (No. 4, 1988), 304-313.
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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}(z)-T_{i-1}(z) (see A036370).
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EXAMPLE
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1; 1, 1, 1; 1, 2, 4, 4, 5, 4, 4, 3, 2, 1, 1;
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CROSSREFS
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Sequence in context: A009622 A144565 A036443 this_sequence A053306 A108422 A084616
Adjacent sequences: A036434 A036435 A036436 this_sequence A036438 A036439 A036440
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KEYWORD
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nonn,easy,tabf
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AUTHOR
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N. J. A. Sloane (njas(AT)research.att.com), Eric Rains (rains(AT)caltech.edu)
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