A315301 Coordination sequence Gal.6.584.4 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, 16, 19, 30, 31, 36, 42, 44, 60, 56, 62, 68, 69, 90, 81, 88, 94, 94, 120, 106, 114, 120, 119, 150, 131, 140, 146, 144, 180, 156, 166, 172, 169, 210, 181, 192, 198, 194, 240, 206, 218, 224, 219, 270, 231, 244, 250, 244

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 30 2020: (Start)

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

G.f.: (x^10 + 6*x^9 + 10*x^8 + 16*x^7 + 19*x^6 + 28*x^5 + 19*x^4 + 16*x^3 + 10*x^2 + 6*x + 1)/(x^10 - 2*x^5 + 1). (End)

Crossrefs

Sequence in context: A315298 A315299 A315300 * A315302 A315303 A315304

Adjacent sequences: A315298 A315299 A315300 * A315302 A315303 A315304

Keyword

nonn

Author

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

Status

approved