A005955 Number of acyclic secondary alcohols with n carbon atoms.

1, 2, 5, 14, 36, 98, 273, 768, 2197, 6360, 18584, 54780, 162672, 486154, 1461197, 4413988, 13393855, 40807290, 124783669, 382842018, 1178140280, 3635626680, 11247841224, 34880346840, 108402132544, 337576497920, 1053229358252, 3291813720292

Offset: 3

Author

N. J. A. Sloane

Keywords

• nonn

Examples

			G.f. = x^3 + 2*x^4 + 5*x^5 + 14*x^6 + 36*x^7 + 98*x^8 + 273*x^9 + ...
		

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.

Crossrefs

Cf. A000625.

Formula

G.f. x*(B(x)-1)^2 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