A123205
Number of polyhexes with 24 hexagons, C_(3h) symmetry and containing 67+3n carbon atoms.
Original entry on oeis.org
1, 6, 16, 40, 133, 283, 630, 1279, 2283, 2471, 1727
Offset: 0
A123209
Number of polyhexes with 24 hexagons, D_(2h) symmetry and containing 2n carbon atoms.
Original entry on oeis.org
1, 2, 2, 7, 12, 23, 30, 23, 53, 52, 105, 124, 206, 135, 307, 42, 113
Offset: 33
A123277
Number of polyhexes with 24 hexagons, C_(2h) symmetry and containing 2n carbon atoms.
Original entry on oeis.org
18, 107, 427, 1490, 4590, 13298, 35971, 90268, 209337, 443940, 846043, 1440863, 2105423, 2482288, 2018188, 931601
Offset: 34
A122096
Number of fusenes with 23 hexagons, C_(2h) symmetry and containing 2n carbon atoms.
Original entry on oeis.org
6, 45, 145, 510, 1739, 4906, 13450, 36524, 87242, 182817, 361188, 632578, 856492, 755737, 375524
Offset: 33
Cf.
A122539,
A121964,
A122736,
A123044,
A123106,
A123105,
A123104,
A123142,
A123205,
A123209,
A123277,
A123284,
A123285,
A123286,
A123287,
A123288,
A123289.
A122097
Number of fusenes with 23 hexagons, C_(2v) symmetry and containing n carbon atoms.
Original entry on oeis.org
2, 9, 33, 38, 236, 126, 723, 473, 2416, 1658, 7813, 4675, 21575, 13325, 57298, 36963, 152858, 90391, 357015, 192587, 737545, 381508, 1434489, 667157, 2507225, 895538, 3385348, 777673, 3022948, 342738, 1502284
Offset: 64
If n=64 then the number of fusenes with 23 hexagons with C_(2v) symmetry is 2.
If n=65 then the number of fusenes with 23 hexagons with C_(2v) symmetry is 9.
If n=66 then the number of fusenes with 23 hexagons with C_(2v) symmetry is 33.
If n=67 then the number of fusenes with 23 hexagons with C_(2v) symmetry is 38.
If n=94 then the number of fusenes with 23 hexagons with C_(2v) symmetry is 1502284.
- G. Brinkmann, G. Caporossi and P. Hansen, "A Survey and New Results on Computer Enumeration of Polyhex and Fusene Hydrocarbons", J. Chem. Inf. Comput. Sci., vol. 43 (2003) 842-851. See Table 9 column 7 on page 849.
Cf.
A122539,
A121964,
A122736,
A123044,
A123106,
A123105,
A123104,
A123142,
A123205,
A123209,
A123277,
A123284,
A123285,
A123286,
A123287,
A123288,
A123289.
A123140
Number of benzenoids with 23 hexagons, D_(2h) symmetry and containing 2n carbon atoms.
Original entry on oeis.org
1, 3, 3, 6, 13, 19, 24, 35, 45, 79, 70, 108, 70, 169, 0, 103
Offset: 32
If 2n=64 then the number of benzenoids with 23 hexagons with D_(2h) symmetry is 1.
If 2n=94 then the number of benzenoids with 23 hexagons with D_(2h) symmetry is 103.
A123141
Number of benzenoids with 23 hexagons, C_(2h) symmetry and containing 2n carbon atoms.
Original entry on oeis.org
6, 45, 145, 510, 1706, 4697, 12446, 32297, 73731, 147440, 274532, 454304, 594505, 514849, 245895
Offset: 33
A123595
Number of fusenes with 24 hexagons, C_(2h) symmetry and containing 2n carbon atoms.
Original entry on oeis.org
18, 107, 427, 1490, 4649, 13793, 38582, 100944, 246047, 548966, 1103167, 1994983, 3083825, 3819606, 3274338, 1664015
Offset: 34
Cf.
A122539,
A121964,
A122736,
A123044,
A123106,
A123105,
A123104,
A123142,
A123289,
A123288,
A123287,
A123286,
A123285,
A123284.
A123598
Number of fusenes with 25 hexagons, C_(2v) symmetry and containing n carbon atoms.
Original entry on oeis.org
3, 24, 29, 131, 114, 670, 423, 2307, 1353, 6814, 4581, 21998, 13890, 64640, 38789, 170723, 104802, 441222, 269058, 1095003, 610892, 2398941, 1239007, 4754880, 2316724, 8787858, 3726026, 14143599, 4553620, 17450804, 3642533, 14388434
Offset: 69
If n=69 then the number of fusenes with 25 hexagons with C_(2v) symmetry is 3.
If n=70 then the number of fusenes with 25 hexagons with C_(2v) symmetry is 24.
If n=71 then the number of fusenes with 25 hexagons with C_(2v) symmetry is 29.
If n=72 then the number of fusenes with 25 hexagons with C_(2v) symmetry is 131.
If n=100 then the number of fusenes with 25 hexagons with C_(2v) symmetry is 14388434.
- G. Brinkmann, G. Caporossi and P. Hansen, "A Survey and New Results on Computer Enumeration of Polyhex and Fusene Hydrocarbons", J. Chem. Inf. Comput. Sci., vol. 43 (2003) 842-851. See Table 11 column 7 on page 850.
Cf.
A122539,
A121964,
A122736,
A123044,
A123106,
A123105,
A123104,
A123142,
A123289,
A123288,
A123287,
A123286,
A123285,
A123284,
A123277,
A123209,
A123205.
A123600
Number of fusenes with 26 hexagons, D_(2h) symmetry and containing 2n carbon atoms.
Original entry on oeis.org
1, 5, 9, 8, 13, 32, 45, 91, 92, 145, 163, 275, 258, 766, 292
Offset: 36
Cf.
A122539,
A121964,
A122736,
A123044,
A123106,
A123105,
A123104,
A123142,
A123289,
A123288,
A123287,
A123286,
A123285,
A123284,
A123277,
A123209,
A123205.