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A036758
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Number of edge-rooted tree-like octagonal systems.
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1
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1, 5, 31, 216, 1617, 12705, 103358, 863161, 7357277, 63747221, 559809997, 4971528380, 44572279612, 402883616972, 3667455453895, 33592221383213, 309375866119789, 2863158467711801, 26613026976466819, 248338952866938164
(list; graph; refs; listen; history; internal format)
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OFFSET
| 1,2
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REFERENCES
| J. Brunvoll et al., Enumeration of tree-like octagonal systems, J. Math. Chem., 21 (1997), 193-196.
S. J. Cyvin et al., Enumeration of tree-like octagonal systems: catapolyoctagons, ACH Models in Chem. 134 (1997), 55-70.
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FORMULA
| G.f. G(x) = G satisfies G=x(1+5G+6G^2+G^3).
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MAPLE
| Order := 30: S := solve(series(G/(1+5*G+6*G^2+G^3), G)=x, G);
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CROSSREFS
| Sequence in context: A153292 A087457 A146962 * A153232 A110379 A097146
Adjacent sequences: A036755 A036756 A036757 * A036759 A036760 A036761
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KEYWORD
| nonn,easy
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AUTHOR
| N. J. A. Sloane (njas(AT)research.att.com).
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EXTENSIONS
| More terms from Emeric Deutsch (deutsch(AT)duke.poly.edu), Feb 28 2004
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