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A187014 Number of isomorphism classes of simply embedded (i.e., loop-free and without parallel edges bounding a disk) bipartite quadrangulations of RP^2 of minimum degree 3 with n nodes and n-1 faces. 1
0, 0, 1, 2, 3, 7, 22, 57, 174, 554, 1848, 6291, 22052, 78361, 282420 (list; graph; refs; listen; history; text; internal format)
OFFSET

4,4

COMMENTS

Also the number of isomorphism classes of homologically trivial basic nets on RP^2 with n-1 nodes and n faces.

Also the number of isomorphism classes of simple quadrangulations of the sphere of minimum degree 3 with 2n nodes and 2n-2 faces which admit an orientation reversing involution without fix nodes and fix edges such that the bipartite coloring is preserved under the involution.

LINKS

Table of n, a(n) for n=4..18.

S. Yu. Orevkov, Basic nets in the projective plane

CROSSREFS

Cf. A078666, A187013.

Sequence in context: A155745 A067738 A296287 * A053966 A010738 A114599

Adjacent sequences:  A187011 A187012 A187013 * A187015 A187016 A187017

KEYWORD

nonn,more

AUTHOR

Stepan Orevkov, Aug 30 2013

STATUS

approved

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Last modified March 5 11:27 EST 2021. Contains 341823 sequences. (Running on oeis4.)