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A049336
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Triangle T(n,k) = number of 2-connected planar graphs with n >= 1 nodes and 0<=k<=3n-6 edges.
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3
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0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 1, 1, 1, 0, 0, 0, 0, 0, 1, 2, 3, 2, 1, 0, 0, 0, 0, 0, 0, 1, 3, 9, 13, 11, 5, 2, 0, 0, 0, 0, 0, 0, 0, 1, 4, 20, 49, 77, 75, 47, 16, 5, 0, 0, 0, 0, 0, 0, 0, 0, 1, 6, 40, 158, 406, 662, 737, 538, 259, 72, 14, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 7, 70, 426, 1645, 4176
(list; graph; refs; listen; history; internal format)
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OFFSET
| 1,21
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REFERENCES
| A. Gagarin, G. Labelle, P. Leroux and T. Walsh, Structure and enumeration of two-connected graphs with prescribed three-connected components, Advances in Applied Mathematics (2009) to appear. [From Gilbert Labelle (labelle.gilbert(AT)uqam.ca), Jan 20 2009]
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LINKS
| Ruperto Corso, Table of n, a(n) for n = 1..249
A. Gagarin, G. Labelle, P. Leroux, and T. Walsh, Structure and enumeration of two-connected graphs with prescribed three-connected components, Adv. in Appl. Math. 43 (2009), no. 1, pp. 46-74.
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EXAMPLE
| 0; 0,0; 0,0,0,1; 0,0,0,0,1,1,1; 0,0,0,0,0,1,2,3,2,1; 0,0,0,0,0,0,1,3,9...
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CROSSREFS
| Cf. A021103, A003094, A049334.
Sequence in context: A152954 A079175 A202815 * A017888 A017878 A017868
Adjacent sequences: A049333 A049334 A049335 * A049337 A049338 A049339
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KEYWORD
| nonn,tabf,easy,nice
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AUTHOR
| Brendan McKay (bdm(AT)cs.anu.edu.au)
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EXTENSIONS
| More terms, a(86) onwards, from Gilbert Labelle (labelle.gilbert(AT)uqam.ca), Jan 20 2009
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