A310185 Coordination sequence Gal.4.15.2 where Gal.u.t.v denotes the coordination sequence for a vertex of type v in tiling number t in the Galebach list of u-uniform tilings.

1, 3, 7, 10, 13, 19, 20, 23, 29, 30, 33, 41, 40, 43, 51, 50, 53, 63, 60, 63, 73, 70, 73, 85, 80, 83, 95, 90, 93, 107, 100, 103, 117, 110, 113, 129, 120, 123, 139, 130, 133, 151, 140, 143, 161, 150, 153, 173, 160, 163

Offset

0,2

Comments

Note that there may be other vertices in the Galebach list of u-uniform tilings with u <= 6 that have this same coordination sequence. See the Galebach link for the complete list of A-numbers for all these tilings.

Links

Table of n, a(n) for n=0..49.

Brian Galebach, k-uniform tilings (k <= 6) and their A-numbers

Formula

Conjectures from Chai Wah Wu, Dec 24 2019: (Start)

a(n) = a(n-3) + a(n-6) - a(n-9) for n > 9.

G.f.: (x^9 + 3*x^8 + 7*x^7 + 9*x^6 + 12*x^5 + 10*x^4 + 9*x^3 + 7*x^2 + 3*x + 1)/(x^9 - x^6 - x^3 + 1). (End)

Crossrefs

Sequence in context: A298786 A285359 A255607 * A339620 A319241 A310186

Adjacent sequences: A310182 A310183 A310184 * A310186 A310187 A310188

Keyword

nonn

Author

Brian Galebach and N. J. A. Sloane, Jun 18 2018

Status

approved