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Search: id:A045907
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| A045907 |
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Catafusenes (see reference for precise definition). |
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+0
1
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| 0, 1, 1, 4, 6, 15, 25, 57, 103, 223, 417, 898, 1722, 3707, 7211, 15620, 30724, 66939, 132729, 290916, 580680, 1279281, 2567397, 5682009, 11456481, 25454265, 51528969, 114880470, 233380592, 521860455, 1063460261, 2384247105
(list; graph; listen)
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OFFSET
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0,4
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REFERENCES
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S. J. Cyvin et al., Enumeration and classification of certain polygonal systems... : annelated catafusenes, J. Chem. Inform. Comput. Sci., 34 (1994), 1174-1180.
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FORMULA
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G.f.=V(z)+[U(z^2)+V(z)^2-V(z^2)^2+U(z^2)V(z)^2]/2-V(z^2)+U(z^2)V(z), where U(z)=[1-3z-sqrt(1-6z+5z^2)]/(2z) and V(z)=[1-z^2-sqrt(1-6z^2+5z^4)]/[2z(1-z)] (from eq. (54) of the Cyvin et al. paper). - Emeric Deutsch (deutsch(AT)duke.poly.edu), May 02 2004
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CROSSREFS
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Sequence in context: A109731 A027631 A128620 this_sequence A034299 A007135 A073603
Adjacent sequences: A045904 A045905 A045906 this_sequence A045908 A045909 A045910
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KEYWORD
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nonn
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AUTHOR
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N. J. A. Sloane (njas(AT)research.att.com).
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EXTENSIONS
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More terms from Emeric Deutsch (deutsch(AT)duke.poly.edu), May 02 2004
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