A005956 - OEIS

%I M2838 #14 Dec 26 2016 15:21:36

%S 1,1,3,10,27,79,234,686,2036,6080,18224,54920,166245,505201,1541014,

%T 4716540,14480699,44586619,137648341,425992838,1321362034,4107332002,

%U 12792440104,39915889304,124762916912,390594099694,1224682772872,3845389399882

%N Number of acyclic tertiary alcohols with n carbon atoms.

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

%H R. C. Read, <a href="/A000598/a000598.pdf">The Enumeration of Acyclic Chemical Compounds</a>, pp. 25-61 of A. T. Balaban, ed., Chemical Applications of Graph Theory, Ac. Press, 1976. [Annotated scanned copy] See p. 44.

%F 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

%K nonn

%O 4,3

%A _N. J. A. Sloane_.

%E More terms from _Sean A. Irvine_, Nov 12 2016