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A005957
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Number of acyclic ketone and aldehyde stereo-isomers with n carbon atoms.
(Formerly M0880)
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1
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1, 1, 2, 3, 8, 18, 47, 123, 338, 935, 2657, 7616, 22138, 64886, 191873, 571169, 1711189, 5153883, 15599094, 47415931, 144692886, 443091572, 1361233280, 4194107380, 12957209782, 40128629400, 124562327944, 387467513732, 1207633413980
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OFFSET
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1,3
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COMMENTS
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It seems that, starting with a(2), this is row j = 1 in Table 3 (p. 176) in Wang et al. (2003). This is also corroborated by the title of the table: "The numbers f_{ij} of stereo isomers of acyclic saturated compounds consisting of C, O, and H, C_i H_{2i+2} O_j". Such a claim, if true, can probably be proved by using Eqs. (5), (6), and (7) on pp. 175-176 of the paper. - Petros Hadjicostas, Jul 24 2019
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REFERENCES
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N. J. A. Sloane and Simon Plouffe, The Encyclopedia of Integer Sequences, Academic Press, 1995 (includes this sequence).
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LINKS
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FORMULA
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CROSSREFS
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KEYWORD
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nonn
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AUTHOR
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EXTENSIONS
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a(23) corrected, title improved, and more terms from Sean A. Irvine, Nov 12 2016
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STATUS
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approved
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