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%I M2664 N1063 #34 Jul 05 2019 15:37:17
%S 0,0,0,0,1,1,3,7,17,40,102,249,631,1594,4074,10443,26981,69923,182158,
%T 476141,1249237,3287448,8677074,22962118,60915508,161962845,431536102,
%U 1152022025,3081015684,8253947104,22147214029,59514474967
%N Number of tertiary 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. 30, Eq. 2.6.
%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(S3, B(x)-1), B(x) = g.f. for A000598.
%Y Cf. A000598.
%K nonn,easy,nice
%O 0,7
%A _N. J. A. Sloane_
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