A005956 Number of acyclic tertiary alcohols with n carbon atoms.

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

Author

N. J. A. Sloane

Keywords

• nonn

References

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

Links

• 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

Extensions

More terms from Sean A. Irvine, Nov 12 2016