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A063832
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Number of structurally isomeric homologues with molecular formula C_{3+n} H_{6+2n}.
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2
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1, 1, 3, 6, 15, 33, 83, 196, 491, 1214, 3068, 7754, 19834, 50872, 131423, 340763, 887839, 2321193, 6090979, 16031341, 42319223, 112003765, 297164610, 790190726, 2105607907, 5621642203, 15036126167, 40284850520, 108102408101
(list; graph; refs; listen; history; internal format)
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OFFSET
| 0,3
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REFERENCES
| Camden A. Parks and James B. Hendrickson, Enumeration of monocyclic and bicyclic carbon skeletons, J. Chem. Inf. Comput. Sci., vol. 31, 334-339 (1991).
G. Polya, Kombinatorische Anzahlbestimmungen fuer Gruppen, Graphen und chemische Verbindungen, Acta Math. 68 (1937), 145-254.
G. Polya and R. C. Read, Combinatorial Enumeration of Groups, Graphs and Chemical Compounds, Springer-Verlag, 1987, p. 63.
Ching-Wan Lam, "Enumeration of isomers of alkylcyclopropanes by means of alkyl 1,1-biradicals", J. Math. Chem., 27 (2000), 23-25. [From Parthasarathy Nambi (PachaNambi(AT)yahoo.com), Aug 24 2008]
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FORMULA
| G.f.: A(x) = cycle_index(S3[S2]B(x)), where B(x) is g.f. for A000598.
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CROSSREFS
| Column 3 of a table (in Parks and Hendrickson) in which the subsequent columns are A116719, A120333, A120779, A120790, A120795, A121156, A121157.
Sequence in context: A152167 A105476 A000599 * A006647 A032126 A190525
Adjacent sequences: A063829 A063830 A063831 * A063833 A063834 A063835
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KEYWORD
| nonn,nice
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AUTHOR
| Vladeta Jovovic (vladeta(AT)eunet.rs), Aug 21 2001
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