A312981 Coordination sequence Gal.5.146.4 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, 4, 9, 13, 20, 22, 28, 31, 35, 44, 44, 52, 53, 57, 68, 66, 76, 75, 79, 92, 88, 100, 97, 101, 116, 110, 124, 119, 123, 140, 132, 148, 141, 145, 164, 154, 172, 163, 167, 188, 176, 196, 185, 189, 212, 198, 220, 207, 211, 236

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 04 2020: (Start)

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

G.f.: (x^10 + 4*x^9 + 9*x^8 + 13*x^7 + 20*x^6 + 20*x^5 + 20*x^4 + 13*x^3 + 9*x^2 + 4*x + 1)/(x^10 - 2*x^5 + 1). (End)

Crossrefs

Sequence in context: A035104 A141224 A064423 * A312982 A312983 A312984

Adjacent sequences: A312978 A312979 A312980 * A312982 A312983 A312984

Keyword

nonn

Author

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

Status

approved