A000624 - OEIS

%I M2355 N0932 #23 Feb 01 2022 01:06:00

%S 0,0,0,1,1,3,4,9,13,26,40,74,118,210,342,595,981,1684,2798,4763,7951,

%T 13469,22548,38082,63862,107666,180740,304382,511292,860504,1445998,

%U 2432665,4088805,6877172,11560684,19441791,32684789,54961955,92404472,155377371,261235027

%N Number of monosubstituted alkanes C(n)H(2n+1)-X of the form shown in the Comments lines that are not stereoisomers.

%C ....X

%C ....|

%C R-C-R' (tertiary)

%C ....|

%C ....R"

%C Then Ps (and As) = A000620, Pn (and An, Sn) = A000621, Ss = A000622, Ts = A000623, Tn = this sequence, 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="/A000624/b000624.txt">Table of n, a(n) for n = 1..3000</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 * beta^n, where beta = 1.681367524441880255591... (see A239804), c = 0.146177958025494272954... (see A239809). - _Vaclav Kotesovec_, Mar 27 2014

%Y Cf. A000620-A000625, A239804, A239809.

%K nonn

%O 1,6

%A _N. J. A. Sloane_

%E Additional comments from Bruce Corrigan, Nov 04 2002

%E False g.f. deleted by _N. J. A. Sloane_, May 13 2008