%I M2585 N1023 #32 Jul 05 2019 15:37:10
%S 0,0,1,1,3,6,15,33,82,194,482,1188,2988,7528,19181,49060,126369,
%T 326863,849650,2216862,5806256,15256265,40210657,106273050,281593237,
%U 747890675,1990689459,5309397294,14187485959,37977600390,101827024251
%N Number of secondary alcohols (alkanols or alkyl alcohols C_n H_{2n+1} OH) with n carbon atoms.
%D J. L. Faulon, D. Visco and D. Roe, Enumerating Molecules, In: Reviews in Computational Chemistry Vol. 21, Ed. K. Lipkowitz, Wiley-VCH, 2005.
%D Handbook of Combinatorics, North-Holland '95, p. 1963.
%D D. Perry, The number of structural isomers ..., J. Amer. Chem. Soc. 54 (1932), 2918-2920.
%D N. J. A. Sloane, A Handbook of Integer Sequences, Academic Press, 1973 (includes this sequence).
%D N. J. A. Sloane and Simon Plouffe, The Encyclopedia of Integer Sequences, Academic Press, 1995 (includes this sequence).
%H H. R. Henze, C. M. Blair, <a href="http://dx.doi.org/10.1021/ja01359a027">The number of structurally isomeric alcohols of the methanol series</a>, J. Amer. Chem. Soc., 53 (8) (1931), 3042-3046.
%H H. R. Henze, C. M. Blair, <a href="/A000598/a000598_2.pdf">The number of structurally isomeric alcohols of the methanol series</a>, J. Amer. Chem. Soc., 53 (8) (1931), 3042-3045. (Annotated scanned copy)
%H D. Perry, <a href="/A000602/a000602_6.pdf">The number of structural isomers of certain homologs of methane and methanol</a>, J. Amer. Chem. Soc. 54 (1932), 2918-2920. [Gives a(60) correctly] (Annotated scanned copy)
%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. 28, 38 (Q(x)).
%H N. Trinajstich, Z. Jerievi, J. V. Knop, W. R. Muller and K. Szymanski, <a href="https://doi.org/10.1351/pac198855020379">Computer Generation of Isomeric Structures</a>, Pure & Appl. Chem., Vol. 55, No. 2, pp. 379-390, 1983.
%F Henze and Blair give a recurrence.; also g.f. A(x) = x*cycle_index(S2, B(x)-1), where B(x) is g.f. for A000598.
%Y Cf. A000598, A000600.
%K nonn,easy
%O 1,5
%A _N. J. A. Sloane_