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Search: id:A044044
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| A044044 |
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Catafusenes (see reference for precise definition). |
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1
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| 0, 1, 2, 2, 6, 10, 19, 36, 72, 135, 274, 543, 1084, 2219, 4438, 9280, 18570, 39587, 79169, 171369, 342738, 751221, 1502472, 3328218, 6656421, 14878455, 29756910, 67030734, 134061570, 304036170, 608072289, 1387247580, 2774495160
(list; graph; listen)
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OFFSET
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0,3
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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.=U(z^2)V(z) + V(z)/z - V(z^3) - 1, 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. (29) 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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Adjacent sequences: A044041 A044042 A044043 this_sequence A044045 A044046 A044047
Sequence in context: A127404 A054227 A054228 this_sequence A123757 A019310 A014113
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KEYWORD
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nonn
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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 02 2004
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