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A044048
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Catafusenes (see reference for precise definition).
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1
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1, 1, 3, 10, 37, 149, 630, 2713, 11899, 52789, 236345, 1066317, 4842531, 22117897, 101535659, 468233674, 2168094625, 10076216851, 46986691678, 219777820957, 1030892924479, 4848040645676, 22853639788127, 107970205586283
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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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LINKS
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FORMULA
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G.f.: (6 - 18x^3 - (1-x)*(1-2x)*f(x) - 3*(1+2x)*f(x^2) - 2*f(x^3))/(12x^3), where f(x) = sqrt(1 - 6x + 5x^2) (follows from eq. (26) in Cyvin et al.).
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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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