A315471 Coordination sequence Gal.3.52.3 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, 11, 16, 21, 26, 32, 38, 43, 48, 53, 58, 64, 70, 75, 80, 85, 90, 96, 102, 107, 112, 117, 122, 128, 134, 139, 144, 149, 154, 160, 166, 171, 176, 181, 186, 192, 198, 203, 208, 213, 218, 224, 230, 235, 240, 245, 250, 256, 262

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 20 2020: (Start)

a(n) = 2*a(n-1) - 2*a(n-2) + 2*a(n-3) - 2*a(n-4) + 2*a(n-5) - a(n-6) for n > 6.

G.f.: (x^6 + 4*x^5 + x^4 + 4*x^3 + x^2 + 4*x + 1)/((x - 1)^2*(x^2 - x + 1)*(x^2 + x + 1)). (End)

Crossrefs

Sequence in context: A315469 A315470 A184487 * A315472 A315473 A373510

Adjacent sequences: A315468 A315469 A315470 * A315472 A315473 A315474

Keyword

nonn

Author

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

Status

approved