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A045907
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Catafusenes (see reference for precise definition).
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3
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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
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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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LINKS
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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, May 02 2004
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CROSSREFS
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KEYWORD
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nonn
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AUTHOR
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EXTENSIONS
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STATUS
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approved
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