Logo

Greetings from The On-Line Encyclopedia of Integer Sequences!

Hints

Search: id:A018190
Displaying 1-1 of 1 results found. page 1
     Format: long | short | internal | text      Sort: relevance | references | number      Highlight: on | off
A018190 Number of planar simply-connected polyhexes (or benzenoid hydrocarbons) with n hexagons. +0
25
1, 1, 3, 7, 22, 81, 331, 1435, 6505, 30086, 141229, 669584, 3198256, 15367577, 74207910, 359863778, 1751594643, 8553649747, 41892642772, 205714411986, 1012565172403, 4994807695197, 24687124900540, 122238208783203 (list; graph; listen)
OFFSET

1,3

REFERENCES

Gunnar Brinkmann, Gilles Caporossi and Pierre Hansen, A constructive enumeration of fusenes and benzenoids, Journal of Algorithms 45 (2002), pp. 155-166.

Gunnar Brinkmann, Gilles Caporossi and Pierre Hansen, A survey and new results on computer enumeration of polyhex and fusene hydrocarbons, J. Chem. Inf. Comput. Sci., 43 (2003), 842-851.

J. Brunvoll et al., Studies of some chemically relevant polygonal systems: mono-q-polyhexes, ACH Models in Chem., 133 (3) (1996), 277-298.

J. L. Faulon, D. Visco and D. Roe, Enumerating Molecules, In: Reviews in Computational Chemistry Vol. 21, Ed. K. Lipkowitz, Wiley-VCH, 2005.

J. V. Knop et al., On the total number of polyhexes, Match, No. 16 (1984), 119-134.

J. V. Knop et al., Use of small computers for large computations..., J. Chem. Inf. Comput. Sci., 30 (1990), 159-160.

E. V. Konstantinova and M. V. Vidyuk, Discriminating tests of information and toplogical indices; animals and trees; J. Chem. Inf. Comput. Sci., 43 (2003), 1860-1871.

S. Nikolic et al., On the concept of the weighted spanning tree of dualist, J. Math. Chem. 4 (1990), 357-375.

Tosic R., Masulovic D., Stojmenovic I., Brunvoll J., Cyvin B. N. and Cyvin S. J., Enumeration of polyhex hydrocarbons to h = 17, J. Chem. Inf. Comput. Sci., 1995, 35, 181-187.

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.

Markus Voege, Anthony J. Guttmann and Iwan Jensen, On the Number of Benzenoid Hydrocarbons, Journal of Chemical Information and Computer Sciences, 42(3) (2002), 456-466.

G. Caporossi and P. Hansen, "Enumeration of polyhex hydrocarbons to h=21", J. Chem. Inf. Comput. Sci., vol. 38 (1998), pp. 610-619

LINKS

N. J. A. Sloane, Table of n, a(n) for n = 1..35 [from Voege et al.]

Eric Weisstein's World of Mathematics, Link to a section of The World of Mathematics.

Eric Weisstein's World of Mathematics, Benzenoid

Eric Weisstein's World of Mathematics, Fusene

CROSSREFS

Cf. A000228, A002216, A018190, A038142-A038147.

Sequence in context: A075214 A070766 A111772 this_sequence A000228 A108070 A038147

Adjacent sequences: A018187 A018188 A018189 this_sequence A018191 A018192 A018193

KEYWORD

nonn,nice

AUTHOR

N. J. A. Sloane (njas(AT)research.att.com), Viviane Rochon (viviane(AT)crt.umontreal.ca), Gilles Caporossi (gillesc(AT)crt.umontreal.ca)

EXTENSIONS

More terms from Joseph Myers (jsm(AT)polyomino.org.uk), Nov 06 2003

Further terms added by N. J. A. Sloane (njas(AT)research.att.com) from Brinkmann et al. (2003). Jun 04 2005

page 1

Search completed in 0.002 seconds

Lookup | Welcome | Find friends | Music | Plot 2 | Demos | Index | Browse | More | WebCam
Contribute new seq. or comment | Format | Transforms | Puzzles | Hot | Classics
More pages | Superseeker | Maintained by N. J. A. Sloane (njas@research.att.com)

Last modified December 16 13:01 EST 2009. Contains 170825 sequences.


AT&T Labs Research