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

0, 0, 0, 1, 1, 3, 4, 9, 13, 26, 40, 74, 118, 210, 342, 595, 981, 1684, 2798, 4763, 7951, 13469, 22548, 38082, 63862, 107666, 180740, 304382, 511292, 860504, 1445998, 2432665, 4088805, 6877172, 11560684, 19441791, 32684789, 54961955, 92404472, 155377371, 261235027

Offset: 1

Author

N. J. A. Sloane

Keywords

• nonn

Comments

....X

....|

R-C-R' (tertiary)

....|

....R"

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.

References

• 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).

Links

• Vaclav Kotesovec, Table of n, a(n) for n = 1..3000
• C. M. Blair and H. R. Henze, The number of stereoisomeric and non-stereoisomeric mono-substitution products of the paraffins, J. Amer. Chem. Soc., 54 (3) (1932), 1098-1106.
• C. M. Blair and H. R. Henze, The number of stereoisomeric and non-stereoisomeric mono-substitution products of the paraffins, J. Amer. Chem. Soc., 54 (3) (1932), 1098-1105. (Annotated scanned copy)

Crossrefs

Cf. A000620-A000625, A239804, A239809.

Formula

a(n) ~ c * beta^n, where beta = 1.681367524441880255591... (see A239804), c = 0.146177958025494272954... (see A239809). - Vaclav Kotesovec, Mar 27 2014

Extensions

Additional comments from Bruce Corrigan, Nov 04 2002

False g.f. deleted by N. J. A. Sloane, May 13 2008