A314167 Coordination sequence Gal.6.638.2 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, 5, 11, 16, 22, 28, 34, 40, 46, 52, 57, 63, 68, 73, 79, 84, 90, 96, 102, 108, 114, 120, 125, 131, 136, 141, 147, 152, 158, 164, 170, 176, 182, 188, 193, 199, 204, 209, 215, 220, 226, 232, 238, 244, 250, 256, 261, 267, 272, 277

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, Sep 09 2025: (Start)

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

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

Crossrefs

Sequence in context: A314164 A314165 A314166 * A314168 A314169 A299911

Adjacent sequences: A314164 A314165 A314166 * A314168 A314169 A314170

Keyword

nonn

Author

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

Status

approved