A314228 Coordination sequence Gal.6.650.3 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, 11, 17, 23, 27, 31, 38, 45, 51, 55, 59, 65, 71, 78, 83, 87, 93, 99, 105, 109, 114, 121, 127, 133, 137, 141, 147, 154, 161, 165, 169, 175, 181, 187, 192, 197, 203, 209, 215, 219, 223, 230, 237, 243, 247, 251, 257, 263, 270

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 20 2022: (Start)

a(n) = a(n-5) + a(n-7) - a(n-12) for n > 12.

G.f.: (x + 1)^4*(x^2 + 1)^2*(x^4 + x^3 - x^2 + x + 1)/(x^12 - x^7 - x^5 + 1). (End)

Crossrefs

Sequence in context: A348934 A259548 A341449 * A314229 A314230 A314231

Adjacent sequences: A314225 A314226 A314227 * A314229 A314230 A314231

Keyword

nonn

Author

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

Status

approved