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A000623
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Number of monosubstituted alkanes C(n)H(2n+1)-X of the form shown in the Comments lines that are stereoisomers.
(Formerly M4125 N1712)
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8
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0, 0, 0, 0, 0, 0, 6, 18, 66, 208, 646, 1962, 5962, 18014, 54578, 165650, 504220, 1539330, 4713742, 14475936, 44578668, 137634872, 425970290, 1321323952, 4107268140, 12792332438, 39915708564, 124762612530, 390593588402, 1224681912368, 3845387953884, 12090382743374
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OFFSET
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1,7
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COMMENTS
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....X
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R-C-R' (tertiary)
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....R"
Let the entries in the nine columns of Blair and Henze's Table I (JACS 54 (1932), p. 1098) be denoted by Ps(n), Pn(n), Ss(n), Sn(n), Ts(n), Tn(n), As(n), An(n), T(n) respectively (here P = Primary, S = Secondary, T = Tertiary, s = stereoisomers, n = non-stereoisomers and the last column T(n) gives total).
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REFERENCES
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N. J. A. Sloane, A Handbook of Integer Sequences, Academic Press, 1973 (includes this sequence).
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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a(n) ~ c * b^n / n^(3/2), where b = 3.287112055584474991259... (see A239803), c = 0.069641252627300354415... (see A239808). - Vaclav Kotesovec, Mar 27 2014
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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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Additional comments from Bruce Corrigan, Nov 04 2002
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STATUS
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approved
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