A310508 Coordination sequence Gal.4.123.1 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, 10, 16, 21, 24, 29, 36, 42, 46, 48, 54, 62, 68, 71, 72, 79, 88, 94, 96, 96, 104, 114, 120, 121, 120, 129, 140, 146, 146, 144, 154, 166, 172, 171, 168, 179, 192, 198, 196, 192, 204, 218, 224, 221, 216, 229, 244, 250, 246

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 24 2020: (Start)

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

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

Crossrefs

Sequence in context: A224391 A224024 A117111 * A310509 A310510 A310511

Adjacent sequences: A310505 A310506 A310507 * A310509 A310510 A310511

Keyword

nonn

Author

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

Status

approved