A315598 Coordination sequence Gal.3.57.3 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, 12, 12, 24, 30, 36, 36, 42, 54, 54, 60, 66, 78, 78, 78, 90, 96, 102, 102, 114, 120, 120, 126, 132, 144, 144, 150, 156, 162, 168, 168, 180, 186, 192, 192, 198, 210, 210, 216, 222, 234, 234, 234, 246, 252, 258, 258, 270, 276

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, Jun 11 2020: (Start)

a(n) = a(n-1) - a(n-2) + a(n-3) + a(n-7) - a(n-8) + a(n-9) - a(n-10) for n > 10.

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

Crossrefs

Sequence in context: A315596 A070149 A315597 * A224301 A181798 A323332

Adjacent sequences: A315595 A315596 A315597 * A315599 A315600 A315601

Keyword

nonn

Author

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

Status

approved