A313707 Coordination sequence Gal.6.198.3 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, 5, 10, 15, 19, 25, 30, 35, 41, 45, 50, 55, 60, 65, 70, 75, 79, 85, 90, 95, 101, 105, 110, 115, 120, 125, 130, 135, 139, 145, 150, 155, 161, 165, 170, 175, 180, 185, 190, 195, 199, 205, 210, 215, 221, 225, 230, 235, 240, 245

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, Dec 24 2023: (Start)

a(n) = 2*a(n-1) - a(n-2) - a(n-4) + 2*a(n-5) - a(n-6) - a(n-8) + 2*a(n-9) - a(n-10) for n > 10.

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

Crossrefs

Sequence in context: A313704 A313705 A313706 * A313708 A313709 A313710

Adjacent sequences: A313704 A313705 A313706 * A313708 A313709 A313710

Keyword

nonn,more

Author

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

Status

approved