A315860 Coordination sequence Gal.4.12.4 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, 8, 12, 14, 22, 28, 28, 32, 34, 44, 50, 48, 52, 54, 66, 72, 68, 72, 74, 88, 94, 88, 92, 94, 110, 116, 108, 112, 114, 132, 138, 128, 132, 134, 154, 160, 148, 152, 154, 176, 182, 168, 172, 174, 198, 204, 188, 192, 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 25 2021: (Start)

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

G.f.: (x^10 + 6*x^9 + 8*x^8 + 12*x^7 + 16*x^6 + 20*x^5 + 14*x^4 + 12*x^3 + 8*x^2 + 6*x + 1)/(x^10 - 2*x^5 + 1). (End)

Crossrefs

Sequence in context: A096175 A274349 A315859 * A315861 A027827 A328537

Adjacent sequences: A315857 A315858 A315859 * A315861 A315862 A315863

Keyword

nonn

Author

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

Status

approved