A120991 -id:A120991 - cp's OEIS frontend

A123106 Number of benzenoids with 22 hexagons, C_(2v) symmetry and containing n carbon atoms.

4, 8, 56, 54, 211, 178, 770, 493, 2349, 1193, 6479, 2788, 16960, 5908, 40657, 11169, 89378, 19138, 176325, 27984, 311332, 36524, 478536, 35025, 599661, 20387, 517568, 0, 251310

Offset: 62

Parthasarathy Nambi, Sep 28 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) pp. 842-851. See Table 5 column 7 on page 847.

Cf. A122539, A121964, A122736, A123044.

Sum_n a(n) = 2652445 = A120991(22). - Andrey Zabolotskiy, Nov 09 2023

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

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

Original entry on oeis.org

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

A119708 Number of free hexagonal polygons of symmetry class D_(3h) and area n.

Original entry on oeis.org

0, 0, 1, 1, 0, 1, 1, 0, 1, 4, 0, 3, 4, 0, 3, 12, 0, 6, 19, 0, 10, 41, 0, 16, 72, 0, 28, 149, 0, 50, 72, 0, 87, 557, 0

Offset: 1

N. J. A. Sloane, Aug 27 2006

Markus Voege, Anthony J. Guttmann and Iwan Jensen, "On the number of benzenoid hydrocarbons", J. Chem. Inf. Comput. Sci., (2002), vol. 42, 456-466.

Cf. A121212, A121211, A121210, A120991.

cp's OEIS Frontend

A123106 Number of benzenoids with 22 hexagons, C_(2v) symmetry and containing n carbon atoms.

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

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A119708 Number of free hexagonal polygons of symmetry class D_(3h) and area n.

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