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Search: id:A038392
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| 1, 1, 2, 6, 19, 71, 274, 1117, 4650, 19819, 85710, 375712, 1664203, 7439593, 33515758, 152019560, 693625265, 3181528275, 14661581030, 67850297506, 315187646601, 1469195636293, 6869889703638, 32215399021901
(list; graph; listen)
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OFFSET
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1,3
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REFERENCES
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J. Brunvoll et al., Studies of some chemically relevant polygonal systems: mono-q-polyhexes, ACH Models in Chem., 133 (3) (1996), 277-298, Eq 16.
B. N. Cyvin et al., A class of polygonal systems representing polycyclic conjugated hydrocarbons ..., Monat. f. Chemie, 125 (1994), 1327-1337.
S. J. Cyvin et al., Graph-theoretical studies on fluoranthenoids and fluorenoids..., J. Molec. Struct. (Theochem), 285 (1993), 179-185.
S. J. Cyvin et al., Enumeration and classification of certain polygonal systems...: annelated catafusenes, J. Chem. Inform. Comput. Sci., 34 (1994), 1174-1180.
F. Harary and R. C. Read, The enumeration of tree-like polyhexes, Proc. Edinb. Math. Soc. (2) 17 (1970), 1-13.
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FORMULA
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G.f.: [2(1-z^2)-(1-z)f(z)-f(z^2)]/[4(1-z)] where f(z)=sqrt(1-6z+5z^2). - Emeric Deutsch (deutsch(AT)duke.poly.edu), Mar 14 2004
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CROSSREFS
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Apart from initial term, (A002212+A007317)/2. See A044045 for another version.
Sequence in context: A150115 A150116 A150117 this_sequence A044045 A150118 A150119
Adjacent sequences: A038389 A038390 A038391 this_sequence A038393 A038394 A038395
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KEYWORD
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nonn,nice
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AUTHOR
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N. J. A. Sloane (njas(AT)research.att.com).
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EXTENSIONS
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More terms from Emeric Deutsch (deutsch(AT)duke.poly.edu), Mar 14 2004
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