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A045906 Catafusenes (see reference for precise definition). 1
1, 1, 4, 12, 51, 205, 907, 4000, 18048, 81719, 373104, 1710740, 7882346, 36457711, 169252176, 788326910, 3683071949, 17255713627, 81056265252, 381668770108, 1801189604231, 8517995996495, 40360819400887, 191589552910532 (list; graph; refs; listen; history; internal format)
OFFSET

0,3

REFERENCES

S. J. Cyvin et al., Enumeration and classification of certain polygonal systems... : annelated catafusenes, J. Chem. Inform. Comput. Sci., 34 (1994), 1174-1180.

FORMULA

G.f.: (8*(1+x^2-6*x^3-x^4)-(1-3*x)*(1-x)^(5/2)*(1-5*x)^(1/2)-(1-x)^(-1)*(5+3*x-5*x^2-7*x^3)*(1-x^2)^(1/2)*(1-5*x^2)^(1/2)-2*(1-x^4)^(1/2)*(1-5*x^4)^(1/2))/16/x^4 - Emeric Deutsch (deutsch(AT)duke.poly.edu), Mar 13 2004

CROSSREFS

Sequence in context: A149400 A149401 A149402 * A025282 A149403 A127866

Adjacent sequences:  A045903 A045904 A045905 * A045907 A045908 A045909

KEYWORD

nonn

AUTHOR

N. J. A. Sloane (njas(AT)research.att.com).

EXTENSIONS

More terms from Emeric Deutsch (deutsch(AT)duke.poly.edu), Mar 13 2004

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Last modified February 17 11:35 EST 2012. Contains 206011 sequences.