A315495 Coordination sequence Gal.5.135.3 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, 22, 28, 34, 39, 44, 50, 56, 61, 66, 72, 78, 84, 89, 94, 100, 106, 111, 116, 122, 128, 134, 139, 144, 150, 156, 161, 166, 172, 178, 184, 189, 194, 200, 206, 211, 216, 222, 228, 234, 239, 244, 250, 256, 261, 266, 272

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, Apr 14 2024: (Start)

a(n) = a(n-1) + a(n-9) - a(n-10) for n > 10.

G.f.: (x^10 + 5*x^9 + 5*x^8 + 5*x^7 + 6*x^6 + 6*x^5 + 6*x^4 + 5*x^3 + 5*x^2 + 5*x + 1)/(x^10 - x^9 - x + 1). (End)

Crossrefs

Sequence in context: A301708 A315493 A315494 * A315496 A315497 A315498

Adjacent sequences: A315492 A315493 A315494 * A315496 A315497 A315498

Keyword

nonn,changed

Author

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

Status

approved