A315213 Coordination sequence Gal.6.453.5 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, 6, 10, 14, 20, 26, 32, 34, 38, 46, 52, 58, 58, 62, 72, 78, 84, 82, 86, 98, 104, 110, 106, 110, 124, 130, 136, 130, 134, 150, 156, 162, 154, 158, 176, 182, 188, 178, 182, 202, 208, 214, 202, 206, 228, 234, 240, 226, 230, 254

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, May 19 2025: (Start)

a(n) = 2*a(n-5) - a(n-10) for n > 10.

G.f.: (x^10 + 6*x^9 + 10*x^8 + 14*x^7 + 20*x^6 + 24*x^5 + 20*x^4 + 14*x^3 + 10*x^2 + 6*x + 1)/(x^10 - 2*x^5 + 1). (End)

Crossrefs

Sequence in context: A315210 A315211 A315212 * A315214 A315215 A315216

Adjacent sequences: A315210 A315211 A315212 * A315214 A315215 A315216

Keyword

nonn

Author

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

Status

approved