A315817 Coordination sequence Gal.4.111.3 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, 6, 18, 12, 30, 24, 30, 42, 30, 60, 42, 54, 66, 48, 90, 60, 78, 90, 66, 120, 78, 102, 114, 84, 150, 96, 126, 138, 102, 180, 114, 150, 162, 120, 210, 132, 174, 186, 138, 240, 150, 198, 210, 156, 270, 168, 222, 234, 174

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, Dec 28 2021: (Start)

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

G.f.: (x^10 + 6*x^9 + 6*x^8 + 18*x^7 + 12*x^6 + 28*x^5 + 12*x^4 + 18*x^3 + 6*x^2 + 6*x + 1)/(x^10 - 2*x^5 + 1). (End)

Crossrefs

Sequence in context: A315815 A298026 A315816 * A325696 A337018 A315818

Adjacent sequences: A315814 A315815 A315816 * A315818 A315819 A315820

Keyword

nonn

Author

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

Status

approved