A313121 Coordination sequence Gal.3.25.1 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, 9, 14, 19, 25, 28, 33, 40, 42, 48, 54, 56, 63, 68, 71, 77, 82, 86, 91, 97, 100, 105, 112, 114, 120, 126, 128, 135, 140, 143, 149, 154, 158, 163, 169, 172, 177, 184, 186, 192, 198, 200, 207, 212, 215, 221, 226, 230, 235

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 06 2020: (Start)

a(n) = a(n-3) + a(n-5) - a(n-8) for n > 10.

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

Crossrefs

Sequence in context: A293807 A300411 A313120 * A313122 A313123 A313124

Adjacent sequences: A313118 A313119 A313120 * A313122 A313123 A313124

Keyword

nonn

Author

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

Status

approved