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A100960 Triangle read by rows: T(n,k) = number of labeled 2-connected planar graphs with n nodes and k edges, n >= 3, n <= k <= 3(k-2). +0
2
1, 3, 6, 1, 12, 70, 100, 45, 10, 60, 720, 2445, 3525, 2637, 1125, 195 (list; graph; listen)
OFFSET

3,2

REFERENCES

E. A. Bender, Z. Gao and N. C. Wormald, The number of labeled 2-connected planar graphs, Electron. J. Combin., 9 (2002), #R43.

EXAMPLE

The triangle T(n,k), n>=3, k>=3 begins:

1

0 3 6 1

0 0 12 70 100 45 10

0 0 0 60 720 2445 3525 2637 1125 195

CROSSREFS

Row sums give A096331. Main diagonal is A001170.

Adjacent sequences: A100957 A100958 A100959 this_sequence A100961 A100962 A100963

Sequence in context: A130724 A120229 A123534 this_sequence A130852 A138799 A108441

KEYWORD

nonn,tabf,more

AUTHOR

njas, Jan 12 2005

EXTENSIONS

The Bender et al. paper (on the web) gives many more terms.

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Last modified October 7 14:39 EDT 2008. Contains 144666 sequences.


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