A311101 Coordination sequence Gal.3.47.1 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, 8, 12, 15, 19, 23, 28, 33, 37, 40, 43, 47, 52, 57, 61, 64, 67, 71, 76, 81, 85, 88, 91, 95, 100, 105, 109, 112, 115, 119, 124, 129, 133, 136, 139, 143, 148, 153, 157, 160, 163, 167, 172, 177, 181, 184, 187, 191, 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, Dec 24 2019: (Start)

a(n) = 3*a(n-1) - 4*a(n-2) + 3*a(n-3) - a(n-4) for n > 8.

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

Crossrefs

Sequence in context: A190687 A311099 A311100 * A311102 A311103 A311104

Adjacent sequences: A311098 A311099 A311100 * A311102 A311103 A311104

Keyword

nonn

Author

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

Status

approved