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%I #61 Feb 16 2025 08:33:02
%S 1,0,0,0,2,2,0,0,6,5,1,0,19,26,5,1,71,101,31,2,274,457,160,16,1117,
%T 1978,825,80,4650,8851,4074,473,19819,39481,19902,2517,85710,178043,
%U 95920,13431
%N Four-column table read by rows: number of nonisomorphic systems of catafusenes in an example (see Cyvin et al. (1994) for precise definition).
%C From _Petros Hadjicostas_, May 25 2019: (Start)
%C The sequence (a rectangular array) refers to Table 5 on p. 1179 of Cyvin et al. (1994). The zeroth row and the zeroth column from Table 5 do not appear in this sequence. The columns (alpha = 1, 2, 3, 4) refer to the number of appendages to the core.
%C 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).
%C The rows of the table are indexed by the total number of hexagons in the appendages.
%C (End)
%H S. J. Cyvin, B. N. Cyvin, J. Brunvoll and E. Brendsdal, <a href="https://doi.org/10.1021/ci00021a026">Enumeration and Classification of Certain Polygonal Systems Representing Polycyclic Conjugated Hydrocarbons: Annelated Catafusenes</a>, Journal of Chemical Information and Modeling [formerly, J. Chem. Inform. Comput. Sci.], 34 (1994), pp. 1174-1180.
%H Eric Weisstein's World of Mathematics, <a href="https://mathworld.wolfram.com/Fusene.html">Fusene</a>.
%e The table begins:
%e 1, 0, 0, 0;
%e 2, 2, 0, 0;
%e 6, 5, 1, 0;
%e 19, 26, 5, 1;
%e 71, 101, 31, 2;
%e 274, 457, 160, 16;
%e 1117, 1978, 825, 80;
%e 4650, 8851, 4074, 473;
%e ...
%Y Columns give A044045, A045903 - A045905. Row sums give A045906.
%K nonn,tabf,changed
%O 1,5
%A _N. J. A. Sloane_, Aug 15 2006; corrected Apr 14 2013. Thanks to _Michel Marcus_ for noticing that something was wrong.
%E Name edited by _Petros Hadjicostas_, May 25 2019
%E More terms from reference from _Petros Hadjicostas_, May 25 2019