A310146 Coordination sequence Gal.5.39.2 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, 3, 6, 9, 11, 14, 17, 20, 24, 26, 28, 32, 34, 37, 41, 43, 46, 49, 51, 54, 58, 61, 63, 66, 69, 71, 75, 78, 80, 84, 86, 88, 92, 95, 98, 101, 103, 106, 109, 112, 115, 118, 121, 123, 126, 129, 132, 136, 138, 140

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 24 2019: (Start)

a(n) = a(n-3) + a(n-13) - a(n-16) for n > 16.

G.f.: (x^16 + 3*x^15 + 6*x^14 + 8*x^13 + 8*x^12 + 8*x^11 + 8*x^10 + 9*x^9 + 10*x^8 + 9*x^7 + 8*x^6 + 8*x^5 + 8*x^4 + 8*x^3 + 6*x^2 + 3*x + 1)/(x^16 - x^13 - x^3 + 1). (End)

Crossrefs

Sequence in context: A054414 A136616 A121384 * A265035 A151926 A166265

Adjacent sequences: A310143 A310144 A310145 * A310147 A310148 A310149

Keyword

nonn

Author

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

Status

approved