A005956 Number of acyclic tertiary alcohols with n carbon atoms. (Formerly M2838)

1, 1, 3, 10, 27, 79, 234, 686, 2036, 6080, 18224, 54920, 166245, 505201, 1541014, 4716540, 14480699, 44586619, 137648341, 425992838, 1321362034, 4107332002, 12792440104, 39915889304, 124762916912, 390594099694, 1224682772872, 3845389399882

Offset

4,3

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=4..31.

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. (1/3)*x*((B(x)-1)^3 + 2*(B(x^3)-1)) where B(x) is the g.f. for A000625. - Sean A. Irvine, Nov 12 2016

Crossrefs

Sequence in context: A027251 A279136 A127912 * A262724 A059193 A226863

Adjacent sequences: A005953 A005954 A005955 * A005957 A005958 A005959

Keyword

nonn

Author

N. J. A. Sloane.

Extensions

More terms from Sean A. Irvine, Nov 12 2016

Status

approved