A123142 -id:A123142 - cp's OEIS frontend

A123284 Number of polyhexes with 24 hexagons, C_(2v) symmetry and containing n carbon atoms.

2, 34, 37, 173, 155, 657, 482, 2206, 1334, 6510, 3315, 18208, 7804, 47329, 16914, 114779, 33879, 258280, 60786, 532865, 98070, 987689, 137195, 1641862, 166882, 2358366, 146898, 2723100, 77267, 2164650, 0, 966300

Offset: 67

Parthasarathy Nambi, Oct 10 2006

a(98) = 966300 is the last nonzero term. Sum(a(n)) = 12574028 = A120991(24). - Markus Voege, Jan 23 2014

			If n=67 then the number of polyhexes with 24 hexagons with C_(2v) symmetry is 2.
If n=68 then the number of polyhexes with 24 hexagons with C_(2v) symmetry is 34.
If n=69 then the number of polyhexes with 24 hexagons with C_(2v) symmetry is 37.
If n=70 then the number of polyhexes with 24 hexagons with C_(2v) symmetry is 173.

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 7 column 7 on page 848.

Cf. A120991, A122539, A121964, A122736, A123044, A123106, A123105, A123104, A123142.

Series corrected a(97)=0 and a(98)=966300; keyword 'fini' by Markus Voege, Jan 23 2014

A123285 Number of fusenes with 22 hexagons, C_(3h) symmetry and containing 3n carbon atoms.

Original entry on oeis.org

1, 2, 8, 21, 60, 160, 281, 655, 1003, 1102

Offset: 21

Parthasarathy Nambi, Oct 10 2006

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 8 column 4 on page 848.

Cf. A122539, A121964, A122736, A123044, A123106, A123105, A123104, A123142.

Name and offset edited by Andrey Zabolotskiy, Nov 15 2023

A123286 Number of fusenes with 22 hexagons, D_(2h) symmetry and containing 2n carbon atoms.

Original entry on oeis.org

1, 3, 3, 6, 17, 19, 26, 32, 40, 54, 131, 70, 277, 51, 188

Offset: 31

Parthasarathy Nambi, Oct 10 2006

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 8 column 5 on page 848.

Cf. A122539, A121964, A122736, A123044, A123106, A123105, A123104, A123142.

Name and offset edited by Andrey Zabolotskiy, Nov 15 2023

A123287 Number of fusenes with 22 hexagons, C_(2h) symmetry and containing 2n carbon atoms.

Original entry on oeis.org

2, 32, 138, 510, 1630, 4757, 13276, 34345, 81379, 173257, 332556, 549920, 737676, 683310, 375524

Offset: 31

Parthasarathy Nambi, Oct 10 2006

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 8 column 6 on page 848.

Cf. A122539, A121964, A122736, A123044, A123106, A123105, A123104, A123142.

Name and offset edited by Andrey Zabolotskiy, Nov 15 2023

A123288 Number of fusenes with 22 hexagons, C_(2v) symmetry and containing n carbon atoms.

Original entry on oeis.org

4, 8, 56, 54, 212, 187, 783, 533, 2535, 1352, 7484, 3391, 21245, 8067, 55794, 16692, 135190, 31411, 291344, 52815, 574364, 76282, 971115, 76761, 1342969, 51319, 1274425, 0, 751033

Offset: 62

Parthasarathy Nambi, Oct 10 2006

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 8 column 7 on page 848.

Cf. A122539, A121964, A122736, A123044, A123106, A123105, A123104, A123142.

a(89) = 0 inserted by Andrey Zabolotskiy, Nov 09 2023

A123289 Number of fusenes with 23 hexagons, D_(2h) symmetry and containing 2n carbon atoms.

Original entry on oeis.org

1, 3, 3, 6, 13, 19, 28, 37, 55, 92, 91, 139, 114, 256, 0, 188

Offset: 32

Parthasarathy Nambi, Oct 10 2006

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 5 on page 849.

Cf. A122539, A121964, A122736, A123044, A123106, A123105, A123104, A123142.

Name and offset corrected and a(46) = 0 inserted by Andrey Zabolotskiy, Nov 09 2023

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

Parthasarathy Nambi, Oct 04 2006

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 7 column 4 on page 848.

Cf. A122539, A121964, A122736, A123044, A123106, A123105, A123104, A123142.

Name and offset edited by Andrey Zabolotskiy, Nov 15 2023

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

Parthasarathy Nambi, Oct 04 2006

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 7 column 5 on page 848.

Cf. A122539, A121964, A122736, A123044, A123106, A123105, A123104, A123142.

Name and offset edited by Andrey Zabolotskiy, Nov 15 2023

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

Parthasarathy Nambi, Oct 10 2006

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 7 column 6 on page 848.

Cf. A122539, A121964, A122736, A123044, A123106, A123105, A123104, A123142, A121210.

Sum_n a(n) = 10623852 = A121210(24). - Andrey Zabolotskiy, Nov 15 2023

Name and offset edited by Andrey Zabolotskiy, Nov 15 2023

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

Parthasarathy Nambi, Oct 17 2006

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 6 on page 849.

Cf. A122539, A121964, A122736, A123044, A123106, A123105, A123104, A123142, A123205, A123209, A123277, A123284, A123285, A123286, A123287, A123288, A123289.

Name and offset edited by Andrey Zabolotskiy, Nov 15 2023

cp's OEIS Frontend

A123284 Number of polyhexes with 24 hexagons, C_(2v) symmetry and containing n carbon atoms.

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A123285 Number of fusenes with 22 hexagons, C_(3h) symmetry and containing 3n carbon atoms.

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A123286 Number of fusenes with 22 hexagons, D_(2h) symmetry and containing 2n carbon atoms.

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A123287 Number of fusenes with 22 hexagons, C_(2h) symmetry and containing 2n carbon atoms.

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A123288 Number of fusenes with 22 hexagons, C_(2v) symmetry and containing n carbon atoms.

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A123289 Number of fusenes with 23 hexagons, D_(2h) symmetry and containing 2n carbon atoms.

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A123205 Number of polyhexes with 24 hexagons, C_(3h) symmetry and containing 67+3n carbon atoms.

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A123209 Number of polyhexes with 24 hexagons, D_(2h) symmetry and containing 2n carbon atoms.

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A123277 Number of polyhexes with 24 hexagons, C_(2h) symmetry and containing 2n carbon atoms.

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A122096 Number of fusenes with 23 hexagons, C_(2h) symmetry and containing 2n carbon atoms.

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