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A000600 Number of tertiary alcohols (alkanols or alkyl alcohols C_n H_{2n+1} OH) with n carbon atoms.
(Formerly M2664 N1063)
6
0, 0, 0, 0, 1, 1, 3, 7, 17, 40, 102, 249, 631, 1594, 4074, 10443, 26981, 69923, 182158, 476141, 1249237, 3287448, 8677074, 22962118, 60915508, 161962845, 431536102, 1152022025, 3081015684, 8253947104, 22147214029, 59514474967 (list; graph; refs; listen; history; internal format)
OFFSET

0,7

REFERENCES

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. 30, Eq. 2.6.

N. J. A. Sloane, A Handbook of Integer Sequences, Academic Press, 1973 (includes this sequence).

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

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.

FORMULA

Henze and Blair give a recurrence; also g.f. A(x) = x*cycle_index(S3, B(x)-1), B(x) = g.f. for A000598.

CROSSREFS

Cf. A000598.

Sequence in context: A137682 A190360 A167213 * A192674 A131056 A077851

Adjacent sequences:  A000597 A000598 A000599 * A000601 A000602 A000603

KEYWORD

nonn,easy,nice

AUTHOR

N. J. A. Sloane (njas(AT)research.att.com).

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Last modified February 14 19:37 EST 2012. Contains 205663 sequences.