A310618 Coordination sequence Gal.4.121.2 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, 6, 14, 16, 18, 28, 26, 36, 36, 38, 50, 46, 58, 56, 58, 72, 66, 80, 76, 78, 94, 86, 102, 96, 98, 116, 106, 124, 116, 118, 138, 126, 146, 136, 138, 160, 146, 168, 156, 158, 182, 166, 190, 176, 178, 204, 186, 212, 196

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, Feb 02 2023: (Start)

a(n) = 2*a(n-5) - a(n-10) for n > 11.

G.f.: (-2*x^11 + 3*x^10 + 4*x^9 + 8*x^8 + 14*x^7 + 20*x^6 + 16*x^5 + 16*x^4 + 14*x^3 + 6*x^2 + 4*x + 1)/(x^10 - 2*x^5 + 1). (End)

Crossrefs

Sequence in context: A338045 A089226 A102029 * A310619 A343501 A029641

Adjacent sequences: A310615 A310616 A310617 * A310619 A310620 A310621

Keyword

nonn

Author

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

Status

approved