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A044047
Catafusenes (see reference for precise definition).
0
0, 0, 0, 1, 2, 12, 56, 282, 1365, 6666, 32002, 153350, 731156, 3480594, 16546884, 78644579, 373813930, 1777680136, 8459543997, 40290717546, 192072529566, 916541991433, 4378019950311, 20933668637794, 100196639221232
OFFSET
0,5
LINKS
F. Harary and R. C. Read, The enumeration of tree-like polyhexes, Proc. Edinburgh Math. Soc. (2) 17 (1970), 1-13.
FORMULA
G.f.: (1/2)*U(z^2)*V(z) + (1/6)*U(z)^3 + (1/3)*U(z^3) where U(z) = (1 - 3z - sqrt(1 - 6z + 5z^2))/(2z) and V(z) = (1 - z^2 - sqrt(1 - 6z^2 + 5z^4))/(2*z*(1-z)) (eq. (26) in the Cyvin et al. paper).
CROSSREFS
Sequence in context: A247121 A078543 A084128 * A296944 A105487 A098453
KEYWORD
nonn
EXTENSIONS
More terms from Emeric Deutsch, Mar 14 2004
STATUS
approved