A005958 Number of esters with n carbon atoms. (Formerly M1210)

1, 2, 4, 10, 25, 64, 172, 472, 1319, 3750, 10796, 31416, 92276, 273172, 814246, 2441688, 7360877, 22295746, 67819576, 207083944, 634512581, 1950301202, 6011920720, 18581123978, 57568802820, 178763375468, 556255762692, 1734248037856

Offset

2,2

References

N. J. A. Sloane and Simon Plouffe, The Encyclopedia of Integer Sequences, Academic Press, 1995 (includes this sequence).

Links

Table of n, a(n) for n=2..29.

R. C. Read, The Enumeration of Acyclic Chemical Compounds, pp. 25-61 of A. T. Balaban, ed., Chemical Applications of Graph Theory, Ac. Press, 1976. [Annotated scanned copy] See p. 44.

Formula

G.f. B(x)*(B(x)-1) where B(x) is the g.f. for A000625. - Sean A. Irvine, Nov 12 2016

Crossrefs

Sequence in context: A151536 A026269 A000645 * A166516 A230552 A230555

Adjacent sequences: A005955 A005956 A005957 * A005959 A005960 A005961

Keyword

nonn

Author

N. J. A. Sloane.

Extensions

More terms from Sean A. Irvine, Nov 12 2016

Status

approved