A194088 The number of biconnected squaregraphs that contain n squares.

1, 1, 2, 6, 18, 72, 318, 1601, 8417

Offset

1,3

References

V. Chepoi, F. Dragan, Y. Vaxès, Center and diameter problem in planar quadrangulations and triangulations, SODA 13 (2002), 346--355.

H.-J. Bandelt, V.Chepoi, and D. Eppstein, Combinatorics and geometry of finite and infinite squaregraphs, SIAM Journal on Discrete Mathematics 24 (2010), 1399--1440.

Links

Table of n, a(n) for n=1..9.

Don Knuth, squaregraph.w (CWEB program).

Example

For n=5 the a(5)=18 solutions are the 12 pentominoes, plus the "5-cogwheel", plus five others obtained by "tearing" the P-pentomino or the 5-cogwheel apart at one edge.

Prog

(CWEB) @ See Knuth link.

Crossrefs

Cf. A194089, A194090, A194091, A194092, A194093.

Sequence in context: A177472 A379742 A364849 * A022491 A004395 A277862

Adjacent sequences: A194085 A194086 A194087 * A194089 A194090 A194091

Keyword

nonn,more

Author

Don Knuth, Aug 15 2011

Status

approved