A315832 Coordination sequence Gal.5.207.4 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, 7, 11, 14, 20, 26, 25, 29, 34, 40, 46, 43, 47, 54, 60, 66, 61, 65, 74, 80, 86, 79, 83, 94, 100, 106, 97, 101, 114, 120, 126, 115, 119, 134, 140, 146, 133, 137, 154, 160, 166, 151, 155, 174, 180, 186, 169, 173, 194

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, Jan 10 2020: (Start)

a(n) = 2*a(n-5) - a(n-10) for n > 10.

G.f.: (x^10 + 6*x^9 + 7*x^8 + 11*x^7 + 14*x^6 + 18*x^5 + 14*x^4 + 11*x^3 + 7*x^2 + 6*x + 1)/(x^10 - 2*x^5 + 1). (End)

Crossrefs

Sequence in context: A054504 A190612 A270431 * A224856 A182156 A166496

Adjacent sequences: A315829 A315830 A315831 * A315833 A315834 A315835

Keyword

nonn

Author

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

Status

approved