A310509 Coordination sequence Gal.5.142.1 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, 25, 30, 36, 42, 46, 50, 56, 62, 67, 71, 76, 82, 88, 92, 96, 102, 108, 113, 117, 122, 128, 134, 138, 142, 148, 154, 159, 163, 168, 174, 180, 184, 188, 194, 200, 205, 209, 214, 220, 226, 230, 234, 240, 246, 251

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) = a(n-1) + a(n-9) - a(n-10) for n > 10.

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

Crossrefs

Sequence in context: A224024 A117111 A310508 * A310510 A310511 A310512

Adjacent sequences: A310506 A310507 A310508 * A310510 A310511 A310512

Keyword

nonn

Author

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

Status

approved