A315681 Coordination sequence Gal.6.159.5 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, 17, 22, 27, 31, 35, 40, 45, 50, 56, 62, 68, 74, 79, 84, 89, 93, 97, 102, 107, 112, 118, 124, 130, 136, 141, 146, 151, 155, 159, 164, 169, 174, 180, 186, 192, 198, 203, 208, 213, 217, 221, 226, 231, 236, 242, 248, 254

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, Nov 15 2024: (Start)

a(n) = a(n-1) + a(n-3) - a(n-4) - a(n-6) + a(n-7) + a(n-9) - a(n-10) for n > 10.

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

Crossrefs

Sequence in context: A315678 A315679 A315680 * A315682 A248149 A315683

Adjacent sequences: A315678 A315679 A315680 * A315682 A315683 A315684

Keyword

nonn

Author

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

Status

approved