A310394 Coordination sequence Gal.6.568.1 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, 4, 10, 14, 19, 23, 29, 33, 37, 44, 47, 52, 56, 62, 66, 70, 78, 80, 85, 89, 95, 99, 103, 112, 113, 118, 122, 128, 132, 136, 146, 146, 151, 155, 161, 165, 169, 180, 179, 184, 188, 194, 198, 202, 214, 212, 217, 221, 227, 231

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 13 2021: (Start)

a(n) = 2*a(n-7) - a(n-14) for n > 14.

G.f.: (x^14 + 4*x^13 + 10*x^12 + 14*x^11 + 19*x^10 + 24*x^9 + 29*x^8 + 31*x^7 + 29*x^6 + 23*x^5 + 19*x^4 + 14*x^3 + 10*x^2 + 4*x + 1)/(x^14 - 2*x^7 + 1). (End)

Crossrefs

Sequence in context: A310391 A310392 A310393 * A310395 A310396 A310397

Adjacent sequences: A310391 A310392 A310393 * A310395 A310396 A310397

Keyword

nonn

Author

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

Status

approved