A315227 Coordination sequence Gal.5.169.5 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, 22, 20, 30, 36, 42, 40, 50, 58, 50, 66, 72, 78, 70, 86, 94, 80, 102, 108, 114, 100, 122, 130, 110, 138, 144, 150, 130, 158, 166, 140, 174, 180, 186, 160, 194, 202, 170, 210, 216, 222, 190, 230, 238, 200, 246, 252

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, Jul 27 2022: (Start)

a(n) = 2*a(n-7) - a(n-14) for n > 14.

G.f.: (x^14 + 6*x^13 + 10*x^12 + 14*x^11 + 22*x^10 + 20*x^9 + 30*x^8 + 34*x^7 + 30*x^6 + 20*x^5 + 22*x^4 + 14*x^3 + 10*x^2 + 6*x + 1)/(x^14 - 2*x^7 + 1). (End)

Crossrefs

Sequence in context: A347047 A057885 A315226 * A315228 A315229 A315230

Adjacent sequences: A315224 A315225 A315226 * A315228 A315229 A315230

Keyword

nonn

Author

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

Status

approved