A314287 Coordination sequence Gal.6.654.1 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, 5, 12, 17, 24, 27, 32, 37, 46, 51, 54, 61, 68, 75, 76, 81, 88, 97, 100, 103, 112, 119, 124, 125, 132, 139, 146, 149, 154, 163, 168, 173, 176, 183, 188, 195, 200, 205, 212, 217, 224, 227, 232, 237, 246, 251, 254, 261, 268, 275

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, Jul 28 2020: (Start)

a(n) = a(n-1) - a(n-2) + a(n-3) + a(n-9) - a(n-10) + a(n-11) - a(n-12) for n > 12.

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

Crossrefs

Sequence in context: A314285 A089988 A314286 * A135459 A214067 A290494

Adjacent sequences: A314284 A314285 A314286 * A314288 A314289 A314290

Keyword

nonn

Author

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

Status

approved