A377921 Number of 3-connected Schnyder labelings with n inner faces in the quadrangular dissection, whose outer white vertices are non-isolated.

0, 0, 0, 1, 0, 3, 4, 15, 42, 131, 438, 1467, 5204, 18687, 69306, 261473, 1007328, 3943155, 15679474, 63199785, 257983836, 1065186381, 4444618518, 18725820855, 79603364236, 341206137453, 1473818915658, 6411853714819, 28082121491796, 123764682835371, 548675459164202

Offset

0,6

Comments

Also number of strong equivalence classes of tricolored contact-systems with n+3 curves. - Éric Fusy, Dec 14 2024

Links

Table of n, a(n) for n=0..30.

Éric Fusy, E. Narmanli, and G. Schaeffer, Enumeration of corner polyhedra and 3-connected Schnyder labelings, arXiv preprint arXiv:2202.09172 [math.CO], 2022-2023. See s^tilde_n.

Crossrefs

Cf. A377920, A377922, A377923, A342141.

Sequence in context: A377923 A377922 A209338 * A127144 A042771 A176755

Adjacent sequences: A377918 A377919 A377920 * A377922 A377923 A377924

Keyword

nonn

Author

N. J. A. Sloane, Dec 13 2024

Extensions

a(13) onwards from Éric Fusy, Dec 14 2024

Status

approved