A310530 Coordination sequence Gal.5.134.1 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, 4, 10, 16, 22, 28, 34, 40, 44, 48, 54, 60, 66, 72, 78, 84, 88, 92, 98, 104, 110, 116, 122, 128, 132, 136, 142, 148, 154, 160, 166, 172, 176, 180, 186, 192, 198, 204, 210, 216, 220, 224, 230, 236, 242, 248, 254, 260, 264, 268

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, Jan 24 2020: (Start)

a(n) = 2*a(n-1) - 2*a(n-2) + 2*a(n-3) - 2*a(n-4) + 2*a(n-5) - 2*a(n-6) + 2*a(n-7) - a(n-8) for n > 8.

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

Crossrefs

Sequence in context: A310527 A310528 A310529 * A310531 A310532 A189932

Adjacent sequences: A310527 A310528 A310529 * A310531 A310532 A310533

Keyword

nonn

Author

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

Status

approved