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A045903 Number of nonisomorphic systems of catafusenes in an example in Cyvin et al. (1994) with two appendages to the core indexed by the total number of hexagons in the appendages. 2
0, 0, 2, 5, 26, 101, 457, 1978, 8851, 39481, 178043 (list; graph; refs; listen; history; text; internal format)



From Petros Hadjicostas, May 25 2019: (Start)

This is column alpha = 2 in Table 5 on p. 1179 of Cyvin et al. (1994). (The table starts with column alpha = 0.) Here, the index alpha for the columns in Table 5 is the number of appendages to the core.

The table refers to the example described on pp. 1177-1179 of the paper and especially to Figure 5 (p. 1178). The entries refer to the number of nonisomorphic systems of catafusenes in this example (as shown in Figure 5, p. 1178).

The rows of Table 5 are indexed by the total number of hexagons in the appendages.

Therefore, a(n) = number of nonisomorphic systems of catefusenes in the example on pp. 1177-1179 of Cyvin et al. (1994) with alpha = 2 appendages to the core, where n = total number of hexagons in the appendages.

From Note 10 (p. 1180) in Cyvin et al. (1994), we see that (most probably) the number of hexagons a (= n in this sequence) does not include any hexagons in the core.



Table of n, a(n) for n=0..10.

S. J. Cyvin, B. N. Cyvin, J. Brunvoll and E. Brendsdal, Enumeration and Classification of Certain Polygonal Systems Representing Polycyclic Conjugated Hydrocarbons: Annelated Catafusenes, Journal of Chemical Information and Modeling [formerly, J. Chem. Inform. Comput. Sci.], 34 (1994), pp. 1174-1180.

Eric Weisstein's World of Mathematics, Fusene.


Cf. A121178.

Sequence in context: A019047 A221679 A178390 * A090878 A214951 A333004

Adjacent sequences:  A045900 A045901 A045902 * A045904 A045905 A045906




N. J. A. Sloane


Name edited by Petros Hadjicostas, May 25 2019



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Last modified October 17 21:17 EDT 2021. Contains 348065 sequences. (Running on oeis4.)