A311593 Coordination sequence Gal.6.192.6 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, 8, 12, 18, 22, 26, 30, 36, 40, 44, 48, 52, 56, 60, 66, 70, 74, 78, 84, 88, 92, 96, 100, 104, 108, 114, 118, 122, 126, 132, 136, 140, 144, 148, 152, 156, 162, 166, 170, 174, 180, 184, 188, 192, 196, 200, 204, 210, 214

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 24 2020: (Start)

a(n) = a(n-1) + a(n-11) - a(n-12) for n > 12.

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

Crossrefs

Sequence in context: A311590 A311591 A311592 * A276340 A311594 A311595

Adjacent sequences: A311590 A311591 A311592 * A311594 A311595 A311596

Keyword

nonn

Author

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

Status

approved