A000624 Number of monosubstituted alkanes C(n)H(2n+1)-X of the form shown in the Comments lines that are not stereoisomers. (Formerly M2355 N0932)

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

1,6

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)

Formula

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

Crossrefs

Cf. A000620-A000625, A239804, A239809.

Sequence in context: A089300 A250111 A079284 * A244703 A232801 A357238

Adjacent sequences: A000621 A000622 A000623 * A000625 A000626 A000627

Keyword

nonn

Author

N. J. A. Sloane

Extensions

Additional comments from Bruce Corrigan, Nov 04 2002

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

Status

approved