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Search: id:A000599
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| A000599 |
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Number of secondary alcohols (alkanols or alkyl alcohols C_n H_{2n+1} OH) with n carbon atoms.
(Formerly M2585 N1023)
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+0
5
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| 0, 0, 1, 1, 3, 6, 15, 33, 82, 194, 482, 1188, 2988, 7528, 19181, 49060, 126369, 326863, 849650, 2216862, 5806256, 15256265, 40210657, 106273050, 281593237, 747890675, 1990689459, 5309397294, 14187485959, 37977600390, 101827024251
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OFFSET
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1,5
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REFERENCES
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J. L. Faulon, D. Visco and D. Roe, Enumerating Molecules, In: Reviews in Computational Chemistry Vol. 21, Ed. K. Lipkowitz, Wiley-VCH, 2005.
Handbook of Combinatorics, North-Holland '95, p. 1963.
H. R. Henze and C. M. Blair, The number of structurally isomeric alcohols of the methanol series, J. Amer. Chem. Soc., 53 (1931), 3042-3046.
D. Perry, The number of structural isomers ..., J. Amer. Chem. Soc. 54 (1932), 2918-2920.
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; see p. 28, 38 (Q(x)).
N. Trinajstich, Z. Jerievi, J. V. Knop, W. R. Muller and K. Szymanski, COMPUTER GENERATION OF ISOMERIC STRUCTURES, Pure & Appl. Chem., Vol. 55, No. 2, pp. 379-39O, 1983.
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FORMULA
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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.
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CROSSREFS
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Cf. A000598, A000600.
Adjacent sequences: A000596 A000597 A000598 this_sequence A000600 A000601 A000602
Sequence in context: A006961 A034740 A105476 this_sequence A063832 A006647 A032126
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KEYWORD
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nonn,easy
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AUTHOR
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njas
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