cp's OEIS Frontend

A000624 Number of monosubstituted alkanes C(n)H(2n+1)-X of the form shown in the Comments lines that are not stereoisomers.

%I A000624 M2355 N0932 #23 Feb 01 2022 01:06:00
%S A000624 0,0,0,1,1,3,4,9,13,26,40,74,118,210,342,595,981,1684,2798,4763,7951,
%T A000624 13469,22548,38082,63862,107666,180740,304382,511292,860504,1445998,
%U A000624 2432665,4088805,6877172,11560684,19441791,32684789,54961955,92404472,155377371,261235027
%N A000624 Number of monosubstituted alkanes C(n)H(2n+1)-X of the form shown in the Comments lines that are not stereoisomers.
%C A000624 ....X
%C A000624 ....|
%C A000624 R-C-R' (tertiary)
%C A000624 ....|
%C A000624 ....R"
%C A000624 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 A000624 N. J. A. Sloane, A Handbook of Integer Sequences, Academic Press, 1973 (includes this sequence).
%D A000624 N. J. A. Sloane and Simon Plouffe, The Encyclopedia of Integer Sequences, Academic Press, 1995 (includes this sequence).
%H A000624 Vaclav Kotesovec, <a href="/A000624/b000624.txt">Table of n, a(n) for n = 1..3000</a>
%H A000624 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 A000624 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 A000624 a(n) ~ c * beta^n, where beta = 1.681367524441880255591... (see A239804), c = 0.146177958025494272954... (see A239809). - _Vaclav Kotesovec_, Mar 27 2014
%Y A000624 Cf. A000620-A000625, A239804, A239809.
%K A000624 nonn
%O A000624 1,6
%A A000624 _N. J. A. Sloane_
%E A000624 Additional comments from Bruce Corrigan, Nov 04 2002
%E A000624 False g.f. deleted by _N. J. A. Sloane_, May 13 2008