A310704 Coordination sequence Gal.3.2.2 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, 7, 10, 15, 19, 21, 24, 30, 34, 35, 38, 45, 49, 49, 52, 60, 64, 63, 66, 75, 79, 77, 80, 90, 94, 91, 94, 105, 109, 105, 108, 120, 124, 119, 122, 135, 139, 133, 136, 150, 154, 147, 150, 165, 169, 161, 164, 180, 184

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, Dec 24 2019: (Start)

a(n) = a(n-1) - a(n-2) + a(n-3) + a(n-4) - a(n-5) + a(n-6) - a(n-7) for n > 7.

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

Crossrefs

Sequence in context: A026372 A014690 A274383 * A126891 A310705 A310706

Adjacent sequences: A310701 A310702 A310703 * A310705 A310706 A310707

Keyword

nonn

Author

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

Status

approved