A315748 Coordination sequence Gal.5.294.4 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, 12, 18, 23, 29, 34, 40, 46, 52, 58, 64, 70, 75, 81, 86, 92, 98, 104, 110, 116, 122, 127, 133, 138, 144, 150, 156, 162, 168, 174, 179, 185, 190, 196, 202, 208, 214, 220, 226, 231, 237, 242, 248, 254, 260, 266, 272, 278, 283

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, Jul 27 2022: (Start)

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

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

Crossrefs

Sequence in context: A315745 A315746 A315747 * A315749 A315750 A315751

Adjacent sequences: A315745 A315746 A315747 * A315749 A315750 A315751

Keyword

nonn

Author

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

Status

approved