A006289 Number of series-reduced 2-connected graphs with n nodes. (Formerly M3058)

1, 3, 19, 149, 2581, 84151, 5201856, 577050233, 113372069299, 39618015318982, 24916462761069296, 28563626972509456884, 60366734349116636660402, 237406975840304068884168139, 1750330441810569047176394509086

Offset

4,2

References

N. J. A. Sloane and Simon Plouffe, The Encyclopedia of Integer Sequences, Academic Press, 1995 (includes this sequence).

Links

Andrew Howroyd, Table of n, a(n) for n = 4..25

R. W. Robinson, Tables

R. W. Robinson, Tables [Local copy, with permission]

R. W. Robinson and T. R. S. Walsh, Inversion of cycle index sum relations for 2- and 3-connected graphs, J. Combin. Theory Ser. B. 57 (1993), 289-308. See also.

T. R. S. Walsh, Counting unlabeled three-connected and homeomorphically irreducible two-connected graphs, J. Combin. Theory Ser. B 32 (1982), no. 1, 12-32.

Crossrefs

Row sums of A339069.

Cf. A006290, A339068.

Sequence in context: A131551 A074546 A054316 * A120590 A354319 A324226

Adjacent sequences: A006286 A006287 A006288 * A006290 A006291 A006292

Keyword

nonn,nice

Author

N. J. A. Sloane

Extensions

Robinson and Walsh list first 25 terms.

Status

approved