A315801 Coordination sequence Gal.3.43.3 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, 6, 12, 24, 24, 24, 42, 36, 48, 48, 60, 48, 78, 60, 84, 72, 96, 72, 114, 84, 120, 96, 132, 96, 150, 108, 156, 120, 168, 120, 186, 132, 192, 144, 204, 144, 222, 156, 228, 168, 240, 168, 258, 180, 264, 192, 276, 192, 294

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 24 2026: (Start)

a(n) = a(n-2) + a(n-6) - a(n-8) for n > 10.

G.f.: (-6*x^10 + 7*x^8 + 12*x^7 - x^6 + 12*x^5 + 18*x^4 + 6*x^3 + 5*x^2 + 6*x + 1)/(x^8 - x^6 - x^2 + 1). (End)

Crossrefs

Sequence in context: A315799 A315800 A160729 * A352135 A272349 A262850

Adjacent sequences: A315798 A315799 A315800 * A315802 A315803 A315804

Keyword

nonn

Author

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

Status

approved