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Search: id:A036760
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| A036760 |
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Number of tree-like octagonal systems. |
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+0
1
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| 1, 1, 3, 11, 56, 341, 2351, 17329, 133126, 1052813, 8511339, 70050568, 585226579, 4952310082, 42376979857, 366185395267, 3191787761573, 28036397185485, 247982793594183, 2207183342498485, 19756959439608022, 177765564883970415
(list; graph; listen)
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OFFSET
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1,3
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REFERENCES
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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
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G.f.=[2x + (2-7x)U(x) - (1+7x)U^2(x) + 2(2-x)V(x) + 4(1+x)U(x^2) + 3xU^2(x^2) + 2xU(x^4)]/8, where U(x) is the g.f. of A036758 and V(x) is the g.f. of A036759. - Emeric Deutsch (deutsch(AT)duke.poly.edu), May 04 2004
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CROSSREFS
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Cf. A036758, A036759.
Adjacent sequences: A036757 A036758 A036759 this_sequence A036761 A036762 A036763
Sequence in context: A001776 A136104 A007841 this_sequence A000985 A094611 A052442
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KEYWORD
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nonn,easy
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AUTHOR
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njas
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EXTENSIONS
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More terms from Emeric Deutsch (deutsch(AT)duke.poly.edu), May 04 2004
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