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Search: id:A044046
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| A044046 |
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Nonisomorphic catacondensed monoheptafusenes (see reference for precise definition). |
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3
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| 0, 0, 1, 3, 16, 66, 300, 1314, 5884, 26304, 118633, 537255, 2447172, 11197710, 51473017, 237569535, 1100655430, 5117008440, 23865566651, 111636805905, 523632748312, 2462303017950, 11605730134178, 54821137926588
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OFFSET
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0,4
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REFERENCES
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B. N. Cyvin et al., A class of polygonal systems representing polycyclic conjugated hydrocarbons ..., Monat. f. Chemie, 125 (1994), 1327-1337 (see Table 1).
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.=[U(z)^2 + U(z^2)], where U(z)= [1-3z-sqrt(1-6z+5z^2)]/(2z). a(2n)=(1/2)[A045445(2n)+A002212(n)], n>=1; a(2n+1)=(1/2)A045445(2n+1), n>=0. - Emeric Deutsch (deutsch(AT)duke.poly.edu), Mar 14 2004
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CROSSREFS
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Cf. A002212, A045445, A045904, A121070. Equals A121071/2.
Sequence in context: A037451 A007143 A062960 this_sequence A000269 A015524 A012279
Adjacent sequences: A044043 A044044 A044045 this_sequence A044047 A044048 A044049
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KEYWORD
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nonn
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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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