A314021 Coordination sequence Gal.5.84.4 where G.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, 15, 20, 24, 29, 33, 39, 44, 49, 55, 59, 64, 68, 73, 77, 83, 88, 93, 99, 103, 108, 112, 117, 121, 127, 132, 137, 143, 147, 152, 156, 161, 165, 171, 176, 181, 187, 191, 196, 200, 205, 209, 215, 220, 225, 231, 235, 240

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 13 2020: (Start)

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

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

Crossrefs

Sequence in context: A075628 A314019 A314020 * A314022 A314023 A314024

Adjacent sequences: A314018 A314019 A314020 * A314022 A314023 A314024

Keyword

nonn

Author

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

Status

approved