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. Author manuscript; available in PMC: 2009 Aug 28.
Published in final edited form as: J Chem Inf Model. 2008 Jul 8;48(7):1304–1310. doi: 10.1021/ci7003412

Table 1.

Total number of distinct topologies up to and including 8 rings.

N3
0 2 4 6 8 10 12 14 total
1 1 1
2 1 2 3
3 2 5 5 12
r 4 4 22 30 17 73
5 10 88 228 193 71 590
6 28 430 1,655 2,457 1,496 388 6,454
7 97 2,242 12,905 28,301 28,649 13,343 2,592 88,129
8 359 13,239 105,188 326,761 483,124 365,994 136,666 21,096 1,452,427