A315135 Coordination sequence Gal.4.122.4 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, 10, 12, 20, 26, 32, 32, 40, 46, 52, 52, 60, 66, 72, 72, 80, 86, 92, 92, 100, 106, 112, 112, 120, 126, 132, 132, 140, 146, 152, 152, 160, 166, 172, 172, 180, 186, 192, 192, 200, 206, 212, 212, 220, 226, 232, 232, 240, 246

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, Aug 18 2025: (Start)

a(n) = a(n-1) + a(n-4) - a(n-5) for n > 7.

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

Crossrefs

Sequence in context: A315133 A315134 A098669 * A315136 A315137 A315138

Adjacent sequences: A315132 A315133 A315134 * A315136 A315137 A315138

Keyword

nonn

Author

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

Status

approved