A315942 Coordination sequence Gal.6.507.5 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, 8, 18, 18, 22, 36, 34, 34, 54, 44, 50, 72, 62, 60, 90, 70, 78, 108, 90, 86, 126, 96, 106, 144, 118, 112, 162, 122, 134, 180, 146, 138, 198, 148, 162, 216, 174, 164, 234, 174, 190, 252, 202, 190, 270, 200, 218, 288, 230

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 09 2020: (Start)

a(n) = 2*a(n-6) - a(n-12) for n > 12.

G.f.: (x^12 + 6*x^11 + 8*x^10 + 18*x^9 + 18*x^8 + 22*x^7 + 34*x^6 + 22*x^5 + 18*x^4 + 18*x^3 + 8*x^2 + 6*x + 1)/(x^12 - 2*x^6 + 1). (End)

Crossrefs

Sequence in context: A093479 A239396 A340519 * A315943 A315944 A165720

Adjacent sequences: A315939 A315940 A315941 * A315943 A315944 A315945

Keyword

nonn

Author

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

Status

approved