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%I M1272 N0490 #20 Feb 01 2022 01:05:20
%S 0,0,0,2,4,14,34,98,270,768,2192,6360,18576,54780,162658,486154,
%T 1461174,4413988,13393816,40807290,124783604,382842018,1178140170,
%U 3635626680,11247841040,34880346840,108402132234,337576497920,1053229357732,3291813720292,10305275270364
%N Number of monosubstituted alkanes C(n)H(2n+1)-X of the form shown in the Comments lines that are stereoisomers.
%C R-CH-X (secondary)
%C .....|
%C .....R'
%C 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).
%C Then Ps (and As) = A000620, Pn (and An, Sn) = A000621, Ss = this sequence, Ts = A000623, Tn = A000624, T = A000625. Recurrences generating these sequences are given in the Maple program in A000620.
%D N. J. A. Sloane, A Handbook of Integer Sequences, Academic Press, 1973 (includes this sequence).
%D N. J. A. Sloane and Simon Plouffe, The Encyclopedia of Integer Sequences, Academic Press, 1995 (includes this sequence).
%H Vaclav Kotesovec, <a href="/A000622/b000622.txt">Table of n, a(n) for n = 1..1930</a>
%H C. M. Blair and H. R. Henze, <a href="http://dx.doi.org/10.1021/ja01342a036">The number of stereoisomeric and non-stereoisomeric mono-substitution products of the paraffins</a>, J. Amer. Chem. Soc., 54 (3) (1932), 1098-1106.
%H C. M. Blair and H. R. Henze, <a href="/A000620/a000620.pdf">The number of stereoisomeric and non-stereoisomeric mono-substitution products of the paraffins</a>, J. Amer. Chem. Soc., 54 (3) (1932), 1098-1105. (Annotated scanned copy)
%F a(n) ~ c * b^n / n^(3/2), where b = 3.287112055584474991259... (see A239803), c = 0.171310881484463744523... (see A239807). - _Vaclav Kotesovec_, Mar 27 2014
%Y Cf. A000620-A000625, A239803, A239807.
%K nonn
%O 1,4
%A _N. J. A. Sloane_
%E Additional comments from Bruce Corrigan, Nov 04 2002
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