A314234 Coordination sequence Gal.6.332.6 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, 17, 23, 28, 32, 37, 43, 49, 55, 60, 65, 71, 77, 83, 88, 92, 97, 103, 109, 115, 120, 125, 131, 137, 143, 148, 152, 157, 163, 169, 175, 180, 185, 191, 197, 203, 208, 212, 217, 223, 229, 235, 240, 245, 251, 257, 263, 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, May 29 2025: (Start)

a(n) = a(n-1) + a(n-11) - a(n-12) for n > 12.

G.f.: (x + 1)^2*(x^4 + x^3 + x^2 + x + 1)*(x^6 + x^5 - x^4 + x^3 - x^2 + x + 1)/(x^12 - x^11 - x + 1). (End)

Crossrefs

Sequence in context: A314231 A314232 A314233 * A314235 A314236 A314237

Adjacent sequences: A314231 A314232 A314233 * A314235 A314236 A314237

Keyword

nonn

Author

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

Status

approved